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Cain, A. J., and A. Malheiro \i Combinatorics of cyclic shifts in plactic, hypoplactic,  sylvester,   Baxter, and related monoids.\i0 ., Submitted.\par \par Cain, Alan J., Ant\'f3nio Malheiro, and F\'e1bio M. Silva. "Combinatorics of patience sorting monoids." (Submitted).\par \par Cain, A. J., Ant\'f3nio Malheiro, and F\'e1bio M. Silva. "Conjugacy in Patience Sorting monoids." (Submitted).\par \par Cain, A. J., R. D. Gray, and A. Malheiro \i Crystal bases, finite complete rewriting systems, and biautomatic structures for Plactic monoids of types $A_n$, $B_n$, $C_n$, $D_n$, and $G_2$.\i0 ., Submitted.\par \par Cain, A. J., A. Malheiro, and F. M. Silva. "The monoids of the patience sorting algorithm." \i International Journal of Algebra and Computation\i0  (In Press).\par \par Cain, Alan J., and Ant\'f3nio Malheiro. "Crystals and trees: Quasi-Kashiwara operators, monoids of binary trees, and Robinson?Schensted-type correspondences." \i Journal of Algebra\i0 . 502 (2018): 347-381.\par \par Ara\'fajo, J., M. Kinyon, J. Konieczny, and A. Malheiro. "Decidability and Independence of Conjugacy Problems in Finitely Presented Monoids." \i Theoretical Computer Science\i0 . 731 (2018): 88-98.\par \par Cain, A. J., and A. Malheiro. "Identities in plactic, hypoplactic, sylvester, Baxter, and related monoids." \i The Electronic Journal of Combinatorics\i0 . 25.3 (2018): P3.30 (19 pages).\par \par Cain, Alan J., and Ant\'f3nio Malheiro. "Combinatorics of Cyclic Shifts in Plactic, Hypoplactic, Sylvester, and Related Monoids." \i Combinatorics on Words: 11th International Conference, WORDS 2017, Montr\'e9al, QC, Canada, September 11-15, 2017, Proceedings\i0 . Eds. Sre?ko Brlek, Francesco Dolce, Christophe Reutenauer, and \'c9lise Vandomme. Cham: Springer International Publishing,  2017. 190-202.\par \par Cain, A. J., and A. Malheiro. "Crystallizing the hypoplactic monoid: from quasi-Kashiwara operators to the Robinson--Schensted-type correspondence for quasi-ribbon tableaux." \i Journal of Algebraic Combinatorics\i0 . 45.2 (2017): 475-524.\par \par Ara\'fajo, Jo\'e3o, Michael Kinyon, Janusz Konieczny, and Ant\'f3nio Malheiro. "Four notions of conjugacy for abstract semigroups." \i Proceedings of the Royal Society of Edinburgh: Section A Mathematics\i0 . 147 (2017): 1169-1214.\par \par Cain, A. J., G. Klein, ?. Kubat, A. Malheiro, and J. Okni?ski \i A note on identities in plactic monoids and monoids of upper-triangular tropical matrices\i0 . ArXiv e-prints., 2017.\par \par Cain, A. J., R. D. Gray, and A. Malheiro. "On finite complete rewriting systems, finite derivation type, and automaticity for homogeneous monoids." \i Information and Computation\i0 . 255 (2017): 68-93.\par \par Cain, A. J., and A. Malheiro. "Deciding conjugacy in sylvester monoids and other homogeneous monoids." \i Int. J. Algebra Comput.\i0 . 25 (2015): 899-915.\par \par Cain, A. J., R. D. Gray, and A. Malheiro. "Finite Gr\'f6bner-Shirshov bases for plactic algebras and biautomatic structures for plactic monoids." \i J. Algebra\i0 . 423 (2015): 37-53.\par \par Cain, A. J., R. D. Gray, and A. Malheiro. "Rewriting systems and biautomatic structures for Chinese, hypoplactic, and sylvester monoids." \i Int. J. Algebra Comput.\i0 . 25 (2015): 51-80.\par \par Ara\'fajo, J., J. Konieczny, and A. Malheiro. "Conjugation in semigroups." \i J. Algebra\i0 . 403 (2014): 93-134.\par \par Gray, R. D., and A. Malheiro. "Homotopy bases and finite derivation type for subgroups of monoids." \i J. Algebra\i0 . 410 (2014): 53-84.\par \par Ara\'fajo, J., M. Kinyon, and A. Malheiro. "A characterization of adequate semigroups by forbidden subsemigroups." \i Proc. R. Soc. Edinb., Sect. A, Math.\i0 . 143 (2013): 1115-1122.\par \par Gray, R. D., A. Malheiro, and S. J. Pride. "Homotopy bases and finite derivation type for Sch\'fctzenberger groups of monoids." \i J. Symb. Comput.\i0 . 50 (2013): 50-78.\par \par Malheiro, A. "Finite derivation type for semilattices of semigroups." \i Semigroup Forum\i0 . 84 (2012): 515-526.\par \par Gray, R. D., and A. Malheiro. "Finite complete rewriting systems for regular semigroups." \i Theor. Comput. Sci.\i0 . 412 (2011): 654-661.\par \par Ara\'fajo, J., and A. Malheiro. "On finite complete presentations and exact decompositions of semigroups." \i Commun. Algebra\i0 . 39 (2011): 3866-3878.\par \par Gray, R. D., A. Malheiro, and S. J. Pride. "On properties not inherited by monoids from their Sch\'fctzenberger groups." \i Inf. Comput.\i0 . 209 (2011): 1120-1134.\par \par Malheiro, A. "Finite derivation type for large ideals." \i Semigroup Forum\i0 . 78 (2009): 450-485.\par \par Malheiro, A. "On Finite Semigroup Cross-Sections and Complete Rewriting Systems." \i International Conference on Theoretical and Mathematical Foundations of Computer Science, TMFCS-08, Orlando, Florida, USA, July 7-10, 2008\i0 . 2008. 59-63.\par \par Malheiro, A. \i On trivializers and subsemigroups.\i0 . Semigroups and formal languages. Proceedings of the international conference in honour of the 65th birthday of Donald B. McAlister. Lisboa, Portugal, July 12?15, 2005.: Hackensack, NJ: World Scientific, 2007.\par \par Malheiro, A. "Finite derivation type for Rees matrix semigroups." \i Theor. Comput. Sci.\i0 . 355 (2006): 274-290.\par \par Malheiro, A. \i Finiteness conditions of semigroup presentations.\i0 . Eds. G. M. S. Gomes. University of Lisbon. Lisbon: University of Lisbon, 2006.\par \par Malheiro, A. "Complete rewriting systems for codified submonoids." \i Int. J. Algebra Comput.\i0 . 15 (2005): 207-216.\par \par Malheiro, A. \i Presentations and complete rewriting systems for semigroups. (in Portuguese)\i0 . Eds. G. M. S. Gomes. Faculty of Sciences of the University of Lisbon. Lisbon: University of Lisbon, 2001.\par \par }