- Coherency of monoids and purity of their acts (with Dandan Yang),
*Advances in Mathematics.*429 (2023), 109182. - Product decompositions of semigroups induced by action pairs (with Scott Carson, Igor Dolinka, James East and Rida-e Zenab),
*Dissertationes Mathematicae*587 (2023), 1-180. - On graph products of monoids (with Dandan Yang),
*J. Algebra.*620 (2023), 113--156. - On minimal ideals in pseudo-finite semigroups (with Craig Miller, Tom Quinn-Gregson and Nik Ruskuc)
*, Canadian J. Math.*75 (2023), 2007-2037. - Semigroups of straight left inverse quotients (with Georgia Schneider),
*Semigroup Forum.*105 (2022), 434-465. - Constellations with range and IS-categories, (with T. Stokes),
*J.P.A.A.*. 226 (2022), 106995. - Right ideal Howson semigroups (with S. Carson),
*Semigroup Forum*102 (2021) 62-85. - Graph products of semigroups (with N. Alqahtani and Dandan Yang)
*SEAMS Bulletin*45, 621-648 (2021) - Independence algebras, basis algebras and the distributivity condition (with W. Bentz),
*Acta Mathematica Hungarica*162 (2020), 419-444. - Matrix semigroups over semirings (with Marianne Johnson and Munazza Naz),
*I.J.A.C.*30 (2020) 267-337. - Coherence and constructions for monoids
(with Y. Dandan, M. Hartmann, N. Ruskuc and Rida-e Zenab)
*Q. J. Math, Oxford*71 (2020), 1461-1488. - Aleph_0-categoricity for semigroups
(with T. Quinn-Gregson),
*Semigroup Forum*99 (2019), 260-292. - Semigroups with finitely generated left congruence
relation, (with Y. Dandan,
T. Quinn-Gregson and R. Zenab),
*Monatshefte fuer Mathematik,*190 (2019), 689-724. - A tribute to John Fountain, (with Mark Lawson),
*Semigroup Forum*99 (2019), 1-8. - Presentations for singular wreath products
(with A. Al-Aadhami, I. Dolinka, J. East and Ying-Ying Feng),
*J.P.A.A.*223 (2019), 5106-5146. - A group-theoretical interpretation of the word problem for free idempotent generated semigroups
(with Y. Dandan and I. Dolinka),
*Adv. Math.*345 (2019), 998-1041. -
Free idempotent generated semigroups: subsemigroups, retracts and maximal subgroups
(with Yang Dandan and T. Quinn-Gregson),
*Comm. in Algebra.*46 2018, 2264-2277. - Ehresmann monoids: adequacy and expansions (with M. Branco, G.M.S. Gomes and Y. Wang),
*J. Algebra,*513 (2018), 344-367. -
Coherency, free inverse monoids and related free algebras (with M. Hartmann)
*Math. Proc. Cambdridge Phil. Soc.,*163, (2017), 23-45. - Embedding in factorisable restriction monoids (with M. Hartmann and M. Szendrei),
*J. Algebra*476 (2017), 216-237. - Constellations and their relationship with categories (with T. Stokes)
*Algebra Universalis*77 (2017), 271-304. - Free monoids are coherent (with M. Hartmann and N. Ruskuc)
*Proceedings of the Edinburgh Mathematical Society (2017)*60, 127-131. - Free idempotent generated semigroups over bands and biordered sets with trivial products (with D. Yang)
*IJAC, 26 (2016) 473-507. arXiv:1501.00912* - Free idempotent generated semigroups and endomorphism monoids of independence algebras (with Y. Dandan)
*Semigroup Forum*93 (2016), 535-553; DOI 10.1007/s00233-016-9802-0 - Restriction semigroups and lambda-Zappa-Szep products (with Rida-e-Zenab)
*Periodica Math. Hungarica.*73(2) (2016), 179-207; DOI 10.1007/s10998-016-0134-3 - Ehresmann monoids (with M. Branco and G.M.S. Gomes)
*J. Algebra. 443 (2015), 349-382.* - Free idempotent generated semigroups and endomorphism monoids of free G-acts (with Igor Dolinka and Dandan Yang)
*J. Algebra 429 (2015), 133-176., arXiv:1402.4042* - Covers for S-acts and Condition (A) for a monoid S (with A. Bailey, M. Hartmann, J. Renshaw and L. Shaheen),
*Glasgow Math. J.*57 (2015) 323-341.doi:10.1017/S0017089514000317. - Commutative orders revisited (with P.N. Anh, P. Grillet and L. Marki),
*Semigroup Forum*, 89 (2014), 336-366. - Every group is a maximal subgroup of a naturally occurring free idempotents generated semigroup (with Dandan Yang),
*Semigroup Forum*, 89 (2014), 125-134. - On some finitary questions arising from the axiomatisability of certain classes of monoid acts (with M. Hartmann and L. Shaheen)
*Communications in Algebra*, 42 (2014), 2584-2602. - Semigroups with skeletons and Zappa-Szep products, (with Rida Zenab),
*CGASA*1 (2013), 59-89. - Proper restriction semigroups -- semidirect products and W-products (with M. Szendrei),
*Acta Mathematica Hungarica*, 141 (2013), 36-57. - Beyond orthodox semigroups(with Yanhui Wang),
*J. Algebra,*368 (2012) 209�230. - Inverse semigroups of left I-quotients
(with N. Ghroda),
*Periodica Mathematica Hungarica,*65 (2012), 45-73. - Proper restriction semigroups and
partial
actions (with C. Cornock),
*J.P.A.A.*, 216 (2012), 935-949*10.1016/j.jpaa.2011.10.015* - Left adequate and
left Ehresmann
monoids II (with G. Gomes),
*J. Algebra*, 348 171-195 (2011)*doi:10.1016/j.jalgebra.2011.09.006*. - Restriction and Ehresmann
semigroups, pp 265-288 in
*Proceedings of the International Conference on Algebra 2010,*Advances in Algebraic Structures, World Scientific 2012.*ISBN-13 978-981-4366-30-4 and ISBN-10 981-4366-30-7.* - Left adequate and
left Ehresmann
monoids (with M. Branco and G. Gomes),
*I.J.A.C.*21 (2011), 1259-1284*10.1142/S0218196711006935* - Axiomatisability
problems for S-posets
(with L. Shaheen),
*Semigroup Forum*, 82 (2011), 199-228. - Actions and partial actions
of inductive constellations
(with C. Hollings),
*Semigroup Forum*, 82 (2011), 35-60. - Extensions
and covers for semigroups whose idempotents
form a left regular band
(with M. Branco and G. Gomes)
*Semigroup Forum,*81 (2010), 51-70. - Perfection for pomonoids
(with L. Shaheen)
*Semigroup Forum,*81 (2010), 102--127. - Independence algebras, basis
algebras
and semigroups of quotients
*Proc. Edinburgh Math. Soc.*53 (2010), 1-33. - Restriction semigroups
and inductive constellations (with C.Hollings)
*Communications in Algebra,*38 (2010), 261-287. - The free ample monoid
(with J.B. Fountain
and G. Gomes)
*I.J.A.C.,*, 19 (2009), 527-554. - Membership of
*AvG*for classes of finite weakly abundant semigroups (with J.B. Fountain and G. Gomes)*Periodica Mathematica Hungarica,*59 (2009), 9-36. - Partial actions of inverse and weakly left
E-ample semigroups
(with C. Hollings),
*J. Australian Math. Soc.,*86 (2009), 355-377. - Axiomatisability of free, projective and flat
acts, pp 41-56 in
*Proceedings of the meeting `Semigroups, Acts and Categories', Tartu, June 2007,*Mathematics Studies 3, Estonian Mathematical Society, Tartu 2008. - Model theoretic properties of free,
projective
and flat acts (with A. Mikhalev, E. Palyutin and A. Stepanova),
*Fund. Appl. Math.,*14 (2008), 63-110. Also appearing in*Journal of Mathematical Sciences,*164 (2010), 195-227 DOI. 10.1007/s10958-009-9720-8 -
Fundamental representations for a class of semigroups containing a band
of idempotents
(with A. El Qallali and J.B. Fountain)
*Communications in Algebra,*, 36 (2008), 2991-3031. -
Fundamental semigroups having a band of idempotents
(with G. Gomes),
*Semigroup Forum,*77 (2008), 279--299. - Stability of the theory of existentially closed
*S*-acts over a right coherent monoid*S*, (with J.B. Fountain) in*Advances in Algebra and Combinatorics, Proceedings of the Second International Congress in Algebra and Combinatorics, 2-15th July 2007, China*(2008). -
A notion of rank for right congruences on an inverse semigroup.
*Bull. Australian Math. Soc.*, 76 (2007), 55--68. -
Products of idempotent endomorphisms of relatively free algebras with
weak exchange properties (with J.B. Fountain)
*Proc. Edinburgh Math. Soc.*, 50 (2007), 343--362. -
A notion of rank for right congruences on semigroups,
*Communications in Algebra*, 33 (2005), 4631-4656. - Faithful functors from
cancellative categories to
cancellative monoids, with an application to abundant semigroups,
(with M. Kambites),
*Int. J. Algebra Comp.*15 (2005), 683-698. -
An application of a theorem of Ash to finite covers,
(with K. Auinger, G.M.S. Gomes and B. Steinberg),
*Studia Logica*78 (2004), 45-57. - Semigroups of left quotients -
the layered approach,
*Communications in Algebra*, 32 (2004), 167-185. - Endomorphisms of relatively free algebras with
weak exchange properties, (with J.B. Fountain),
*Algebra Universalis*, 51 (2004), 257--285. - Semigroups of left quotients: existence, straightness and
locality,
*J. Algebra*, 267 (2003), 514-541. - Relatively free
algebras with weak exchange properties, (with J.B. Fountain)
*J. Australian Math. Soc.*, 75 (2003), 355-384. - Finite proper covers
in a class of finite semigroups with commuting idempotents, (with G.M.S. Gomes)
*Semigroup Forum*66 (2003), 433-454. - Abundant and ample straight left orders
,
*Periodica Mathematica Hungarica*. 46 (2003), 171-179. - Axiomatisability of weakly flat, flat
and projective S-acts, (with S. Bulman-Fleming)
*Communications in Algebra*, 30 (2002), 5575-5593. -
Maximal orders in completely 0-simple semigroups, (with J.B. Fountain)
*Period. Math. Hungar.*44 (2002),

no. 1, 45-61. - Fundamental Ehresmann semigroups, (with G.M.S. Gomes)
*Semigroup Forum*, 63 (2001), 11-33. - Graph expansions of unipotent monoids
, (with G.M.S. Gomes)
*Comm. Algebra*28 (2000), 447-463. - Orders and straight left orders in completely
regular semigroups, (with P.M. Smith)
*Monatshefte fuer Math.*, 131 (2000), 193-214. - Right cancellative and left ample monoids: quasivarieties and
proper
covers,
*J. Algebra*228 (2000), 428-456. - Proper weakly left ample semigroups, (with G.M.S. Gomes)
*Int. J. Algebra Comp.*9 (1999), 721-739. - Inverse semigroups
with zero: covers and
their structure, (with S. Bulman-Fleming and J.B. Fountain)
*J. Austral.*A 67 (1999), no. 1, 15--30.

Math. Soc. Ser. - Enlargements,
semiabundancy and unipotent
monoids, (with J.B. Fountain and G. M. S. Gomes)
*Comm. Algebra*

27 (1999), no. 2, 595--614. - Maximal orders in semigroups,
(with J.B. Fountain and P. Smith)
*Comm. Algebra*27 (1999), no. 1, 173--187. - A Munn type representation
for a class of
E-semiadequate
semigroups, (with J.B. Fountain and G.M.S. Gomes)
*J. Algebra*218 (1999), no. 2, 693--714. - Cancellative orders, (with D. Easdown)
*Semigroup Forum*55 (1997), 185--195. - Orders in power semigroups, (with D. Easdown)
*Glasgow Math. J.*, 38 (1996), 39-47. - Commutative orders,(with D. Easdown)
*Proc. Royal Soc. Edinburgh*, 126A (1996), 1201-1216. - Graph expansions of right cancellative
monoids,
*Int. J. Algebra and Comp.*, 6 (1996), 713-733. - Completely 0-simple
semigroups of left quotients of a semigroup (with P.N. Ánh and L. Márki)
*Int. J. Algebra and Comp.*, 6 (1996), 143-153. - Independence algebras,
*Algebra Universalis*33 (1995), 294-318. - Straight left orders,
*St. Sci. Math. Hungarica*30 (1995), 355-373. - Independence structures, in `Proceedings of the International Conference
`Semigroups and their applications, including semigroup rings',
St. Petersburg, June 19-30 1995'. Edited by P. Higgins,
S. Kublovsky, A. Mikhalev and J. Ponizovskii.
*Russian State Hydrometeorological Institute: St. Petersburg*, 1996. - Idempotent bounded C-semigroups, (with J.B. Fountain)
*Monatsh. Math.*117 (1994), no. 3-4, 237--254. - Left idempotent bounded
C-semigroups, (with J.B. Fountain)
*Acta Sci. Math.**(Szeged)*58 (1993), no. 1-4, 43--65. - Coherent monoids,
*J. Australian Math. Soc.*53 (1992), 166-182. - Semigroups of left quotients - the uniqueness problem,
*Proc. Edinburgh Math. Soc.*35 (1992), 213-226. - Orders in semiprime rings
with minimal condition for principal right
ideals, (with J.B. Fountain)
*Proc. Roy. Soc.*Sect. A 121 (1992), no. 3-4, 375--380.

Edinburgh - Straight left orders in
rings, (with J.B. Fountain)
*Quart. J. Math. Oxford*Ser. (2) 43 (1992), no. 171, 303--311. - Left orders in regular
*H*-semigroups I,*J. Algebra*141 (1991), 11-35. - Completely right pure monoids - the general case,
*Mathematika*38 (1991), 77-88. - Orders in regular rings
with minimal condition for principal right ideals, (with J.B. Fountain)
*Comm. Algebra*19 (1991),no. 5, 1501--1527. - Abundant enlargements of monoids, in `Proceedings of the Monash Conference on Semigroup Theory', 86-100. Edited by T.E. Hall, P.R. Jones and J.C. Meakin, World Scientific Publishing Co., 1991.
- Left orders in inverse
*w*-semigroups,*Quarterly J. Math.*Oxford} 41 (1990), 21-44. - Completely right pure monoids on which
*H*is a right congruence,*Math. Proc. Cambridge Phil. Soc.*107 (1990), 275-285. - Left orders in regular
*H*-semigroups II,*Glasgow Math. J.*32 (1990), 95-108. - On left absolutely flat monoids, (with S. Bulman-Fleming)
*Semigroup Forum*41 (1990), 55-59. - A new approach to orders in simple rings with
minimal one-sided ideals,
(with M. Petrich),
*Semigroup Forum*41 (1990), 267-290. - Orders in rings without
identity, (with J.B. Fountain)
*Comm. Algebra*18 (1990), no. 9, 3085--3110. - Every Hamiltonian variety has the C.E.P.-
a short proof, (with M.M.W. Wild)
*Algebra Universalis*26 (1989), 187-188. - Absolutely flat completely 0-simple semigroups of left
quotients,
*J. Pure Appl. Algebra*55 (1988), 261-288. - Orders in semigroups, in `Contributions to General Algebra 5', 163-169, Verlag Hölder-Pichler-Tempsky, Vienna, 1987.
- Divisible S-systems and R-modules,
*Proc. Edinburgh Math. Soc.*30 (1987), 187-200. - Coperfect monoids,
*Glasgow Math. J.*29 (1987), 73-88. - Axiomatisability problems for S-systems,
*. London Math. Soc.*35 (1987), 193-201. - Model Companions of S-systems,
*Quarterly J. Math. Oxford*38 (1987), 189-211. - Completely right pure monoids,
*Proc. Royal Irish Acad.*87A (1987), 73-82. - Semigroups of quotients, in `Proceedings of the International Symposium on the Theory of Regular Semigroups and Applications', 47-70. Edited by K.S.S. Nambooripad, R. Veeramony and A.R. Rajan, Publication No. 11 of the Centre for Mathematical Sciences, Kerala, 1986.
- Clifford semigroups of left quotients,
*Glasgow Math. J.*28 (1986), 181-191. - The characterisation of monoids by properties of their S-systems,
*Semigroup Forum*32 (1985), 251-265. - Completely 0-simple semigroups of quotients II (with J.B. Fountain), in `Contributions to General Algebra 3', 115-124, Verlag Höder-Pichler-Tempsky, Vienna, 1985.
- Bisimple inverse
*w*-semigroups of left quotients,*Proc. London Math. Soc.*52 (1985), 95-118.**Submissions, Preprints, Pre-preprints and Notes**- Translational hulls of semigroups of endomorphisms of an algebra (with Ambroise Grau, Marianne Johnson, Mark Kambites.
- Graph products of residually finite monoids are residually finite (with Jung Won Cho, Nik Ruskuc and Dandan Yang).
- Coherency properties for monoids of transformations and partitions (with Matthew Brookes and Nik Ruskuc).
- On the diameter of semigroups of transformations and partitions (with James East, Craig Miller, Thomas Quinn-Gregson, Nik Ruskuc).
- The structure of End
*T_n*(with Ambroise Grau and Marianne Johnson). - D-inverse constellations (with Tim Stokes).
- A longer tribute to John Fountain, with Mark Lawson.
- Presentations of Szendrei and graph expansions (with C. Cornock)
*In preparation.* - Stability of the theory of existentially closed
*S*-sets over a right coherent monoid*S*, (with J.B. Fountain; an expanded version of the Proceedings article with the same name). - (Weakly) left E-ample semigroups or Notes on Restriction semigroups and related structures (the same article with two different names)
- Semigroup Theory: A Lecture Course and A Suite of Exercises.
- Formal languages, Automata and Monoids: A Lecture Course with exercises

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