*Conjugacy in inverse semigroups*

(with J. Araujo and M. Kinyon), Journal of Algebra**533**(2019), 142-173., Asian-European Journal of Mathematics, doi.org/10.1142/S1793557120500692.*Second centralizers in the semigroup of injective transformation*s, Algebra Colloquium*The semigroup of surjective transformations on an infinite set***26**(2019), 9-22.(with J. Araujo, M. Kinyon, and A. Malheiro), Theoretical Computer Science**Decidability and independence of conjugacy problems in finitely presented monoids****731**(2018),(with J. Araujo, W. Bentz, E. Dobson, and J. Morris), Combinatorica**Automorphism groups of circulant digraphs with applications to semigroup theory****38**(2018),Semigroup Forum**Centralizers of full injective transformations in the symmetric inverse semigroup**,**96**, Journal of Algebra and Its Applications*A new definition of conjugacy for semigroups***17**, 1850032 (2018) [20 pages].(with J. Araujo, M. Kinyon, and A. Malheiro), Proceedings of the Royal Society of Edinburgh, Section A: Mathematics**Four notions of conjugacy for abstract semigroup**s**147**(2017) , 1169-1214.(with J. Araujo and W. Bentz), Semigroup Forum**Directed graphs of inner translations of semigroups****94**(2016), 650-673.(with J. Araujo and W. Bentz), Israel Journal of Mathematics**The commuting graph of the symmetric inverse semigroup****207**(2015), 103-149.(with J. Araujo and W. Bentz), Linear Algebra and its Applications**The largest subsemilattices of the endomorphism monoid of an independence algebra****458**(2014), 60-79.,**Automorphism groups of endomorphism monoids of free G-set**s

Asian-European Journal of Mathematics**7**(2014), 120-134.(with J. Araujo and A. Malheiro), Journal of Algebra*Conjugation in semigroups***403**(2014), 93-134.Bulletin of the Australian Mathematical Society 87 (2013), 462-479.,**Centralizers in the infinite symmetric inverse semigrou**p(with J. Araujo), Semigroup Forum*Centralizers in the full transformation semigroup***86**(2013), 1-31.(with S.V. Droms and R. Palomba), Algebra Colloquium*Sn-normal semigroups of partial transformations***19**(2012), 947-970.**A method for finding new sets of axioms for classes of semigroup**s*(with J.*Araujo),**51**(2012), 461-474*.*Semigroup Forum**A proof of Devadze’s theorem on generators of the semigroup of Boolean matrices**,**83**(2011), 281-288.**Regular centralizers of idempotent transformations**(*with J. Andre and J. Araujo),*Semigroup Forum**82**(2011), 307-318*.*Central European Journal of Mathematics**Infinite injective transformations whose centralizers have simple structure**,**9**(2011), 23-35.(with J. Araujo and M. Kinyon), European Journal of Combinatorics*Minimal paths in the commuting graphs of semigroups***32**(2011), 178-197., Bulletin of the Australian Mathematical Society*Centralizers in the semigroup of injective transformations on an infinite**set***82**(2010), 305-321.(with J. Araujo and E. Dobson), Mathematische Nachrichten*Automorphisms of endomorphism semigroups of reflexive digraphs***283**(2010), 939-964.(with J. Araujo), Journal of the Australian Mathematical Society*General Theorems on Automorphisms of Semigroups and Their Applications***87**(2009), 1-17.(with J. Araujo), Communications in Algebra*Automorphisms of endomorphism monoids if 1-simple free algebras***37**(2009), 83-94.(with J. Araujo), Semigroups, Acts and Categories with Applications to Graphs, 7–13, Mathematics Studies (Tartu) 3, Estonian Mathematical Society, Tartu, 2008.*The monoid of holomorphic endomorphisms of a group and its automorphisms*(with J. Araujo), Proceedings of the Edinburgh Mathematical Society*Automorphisms of endomorphism monoids of relatively free bands***50**(2007), 1-21.(with J. Araujo), Discrete Mathematics*A method of finding automorphism groups of endomorphism monoids of relational systems***307**(2007), 1609-1620.(with L. Lehman and S. Lipscomb), JP Journal of Algebra, Number Theory and Applications**Balanced subgroups of symmetric group**s**5**(2005), 307-329.(with J. Araujo), Semigroup Forum*Dense relations are determined by their endomorphism monoids***70**(2005), 302-306.(with J. Araujo), Communications in Algebra*Semigroups of transformations preserving an equivalence relation and a cross-section***32**(2004), 1917-1935., Communications in Algebra*Semigroups of transformations commuting with injective nilpotents***32**(2004), 1551-1569.(with J. Araujo), Journal of Algebra*Automorphism groups of centralizers of idempotents***269**(2003), 227-239., Mathematica Bohemica**Regular, inverse, and completely regular centralizers of permutation**s**128**(2003), 179-186.(with S. Lipscomb), Proceedings of the American Mathematical Society*The class equation and counting in factorizable monoids***131**(2003), 3345-3351.(with J. Araujo), Bulletin of the Polytechnic Institute of Jassy**Molaei’s generalized groups are completely simple semigroup**s**48**(2002), 1-5., Algebra Colloquium*Semigroups of transformations commuting with idempotents***9**(2002), 121-134., Southeast Asian Bulletin of Mathematics*The semigroup generated by regular Boolean matrices***25**(2002), 627-641., Czechoslovak Mathematical Journal*Second centralizers of partial transformations***51**(2001), 873-888., Glasgow Mathematical Journal*Green’s relations and regularity in centralizers of permutations***41**(1999), 45-57.(with S. Lipscomb), Mathematica Japonica**Centralizers in the semigroup of partial transformation**s**48**(1998), 367-376.(with S. Lipscomb), Pure Mathematics and Applications*Centralizers of permutations in the partial transformation semigroup***6**(1995), 349-354., Journal of Symbolic Computation*Reduced idempotents in the semigroup of Boolean matrices***20**(1995), 471-482.(with S. Lipscomb), Semigroup Forum*Classification of Sn-normal semigroups***51**(1995), 73-86., Semigroup Forum*Green’s equivalences in finite semigroups of binary relations***48**(1994), 235-252., Semigroup Forum*Remarks on the structure of the multiplicative monoid of integers modulo m***46**(1993), 266-269., Semigroup Forum*On cardinalities of row spaces of Boolean matrices***44**(1992), 393-402.(with K. Jojczyk and T. Kuzak), Theoretical Computer Science*On interleaving behaviour of PT-nets***64**(1989), 25-38.