Selected Publications

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Journal Article
Araújo, João, Wolfram Bentz, and Peter J. Cameron. "The existential transversal property: a generalization of homogeneity and its impact on semigroups." Trans. Amer. Math. Soc.. 374 (2021): 1155-1195. AbstractWebsite
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Araújo, João, Michael Kinyon, Janusz Konieczny, and António Malheiro. "Four notions of conjugacy for abstract semigroups." Proc. Roy. Soc. Edinburgh Sect. A. 147 (2017): 1169-1214. AbstractWebsite
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Araújo, João, Michael Kinyon, Janusz Konieczny, and António Malheiro. "Four notions of conjugacy for abstract semigroups." Proc. Roy. Soc. Edinburgh Sect. A. 147 (2017): 1169-1214. AbstractWebsite
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Araújo, João, and Janusz Konieczny. "General theorems on automorphisms of semigroups and their applications." J. Aust. Math. Soc.. 87 (2009): 1-17. AbstractWebsite
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Araújo, João, Wolfram Bentz, and Peter J. Cameron. "Groups synchronizing a transformation of non-uniform kernel." Theoret. Comput. Sci.. 498 (2013): 1-9. AbstractWebsite
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Araújo, J., J. D. Mitchell, and Csaba Schneider. "Groups that together with any transformation generate regular semigroups for idempotent generated semigroups." J. Algebra. 343 (2011): 93-106. AbstractWebsite
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Araújo, João. "Idempotent generated endomorphisms of an independence algebra." Semigroup Forum. 67 (2003): 464-467. AbstractWebsite
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Araújo, J., J. P. Araújo, P. J. Cameron, T. Dobson, A. Hulpke, and P. Lopes. "Imprimitive permutations in primitive groups." J. Algebra. 486 (2017): 396-416. AbstractWebsite
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Araújo, J., J. P. Araújo, P. J. Cameron, T. Dobson, A. Hulpke, and P. Lopes. "Imprimitive permutations in primitive groups." J. Algebra. 486 (2017): 396-416. AbstractWebsite
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Araújo, João, and Michael Kinyon. "Independent axiom systems for nearlattices." Czechoslovak Math. J.. 61(136) (2011): 975-992. AbstractWebsite
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Araújo, João, Peter J. Cameron, Carlo Casolo, and Francesco Matucci. "Integrals of groups." Israel J. Math.. 234 (2019): 149-178. AbstractWebsite
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Araújo, João, and Michael Kinyon. "Inverse semigroups with idempotent-fixing automorphisms." Semigroup Forum. 89 (2014): 469-474. AbstractWebsite
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Araújo, João, Wolfram Bentz, and Janusz Konieczny. "The largest subsemilattices of the endomorphism monoid of an independence algebra." Linear Algebra Appl.. 458 (2014): 60-79. AbstractWebsite
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Araújo, João, and Janusz Konieczny. "A method of finding automorphism groups of endomorphism monoids of relational systems." Discrete Math.. 307 (2007): 1609-1620. AbstractWebsite
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Araújo, João, Michael Kinyon, and Janusz Konieczny. "Minimal paths in the commuting graphs of semigroups." European J. Combin.. 32 (2011): 178-197. AbstractWebsite
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Araújo, João. "Normal semigroups of endomorphisms of proper independence algebras are idempotent generated." Proc. Edinb. Math. Soc. (2). 45 (2002): 205-217. AbstractWebsite
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Araújo, J., J. D. Mitchell, and N. Silva. "On generating countable sets of endomorphisms." Algebra Universalis. 50 (2003): 61-67. AbstractWebsite
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Araújo, João. "On idempotent generated semigroups." Semigroup Forum. 65 (2002): 138-140. AbstractWebsite
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Araújo, João, Wolfram Bentz, and Peter J. Cameron. "Orbits of primitive {$k$}-homogenous groups on {$(n-k)$}-partitions with applications to semigroups." Trans. Amer. Math. Soc.. 371 (2019): 105-136. AbstractWebsite
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Araújo, João, and Peter J. Cameron. "Primitive groups synchronize non-uniform maps of extreme ranks." J. Combin. Theory Ser. B. 106 (2014): 98-114. AbstractWebsite
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Araújo, João, Wolfram Bentz, Peter J. Cameron, Gordon Royle, and Artur Schaefer. "Primitive groups, graph endomorphisms and synchronization." Proc. Lond. Math. Soc. (3). 113 (2016): 829-867. AbstractWebsite
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Araújo, João, Wolfram Bentz, Peter J. Cameron, Gordon Royle, and Artur Schaefer. "Primitive groups, graph endomorphisms and synchronization." Proc. Lond. Math. Soc. (3). 113 (2016): 829-867. AbstractWebsite
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Araújo, João, Wolfram Bentz, and Peter J. Cameron. "Primitive permutation groups and strongly factorizable transformation semigroups." J. Algebra. 565 (2021): 513-530. AbstractWebsite
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Araújo, João, Wolfram Bentz, James D. Mitchell, and Csaba Schneider. "The rank of the semigroup of transformations stabilising a partition of a finite set." Math. Proc. Cambridge Philos. Soc.. 159 (2015): 339-353. AbstractWebsite
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Araújo, J., and J. D. Mitchell. "Relative ranks in the monoid of endomorphisms of an independence algebra." Monatsh. Math.. 151 (2007): 1-10. AbstractWebsite
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