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Communications in Algebra Volume 32, 2004 - Issue 5
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Semigroups of Transformations Preserving an Equivalence Relation and a Cross-Section

João Araújo Universidade Aberta, R. Escola Politécnica, Lisboa, Portugal; Centro de Álgebra, Universidade de Lisboa, Lisboa, Portugal; Centro de Álgebra, Universidade de Lisboa, 1649-003, Lisboa, PortugalCorrespondence[email protected]
&
Janusz Konieczny Department of Mathematics, Mary Washington College, Fredericksburg, Virginia, USA
Pages 1917-1935 | Received 01 Nov 2002, Published online: 21 Oct 2011

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Mosarof Sarkar & Shubh N. Singh. (2021) On certain semigroups of transformations that preserve a partition. Communications in Algebra 49:1, pages 331-342.
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Maria Borralho & Michael Kinyon. (2020) Variants of epigroups and primary conjugacy. Communications in Algebra 48:12, pages 5465-5473.
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Miroslava Černegová & Danica Jakubíková-Studenovská. (2017) Reconstructability of a monounary algebra from its second centralizer. Communications in Algebra 45:11, pages 4656-4666.
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Huisheng Pei, Lei Sun & Hongcun Zhai. (2007) Green's Relations for the Variants of Transformation Semigroups Preserving an Equivalence Relation. Communications in Algebra 35:6, pages 1971-1986.
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Articles from other publishers (28)

Mosarof Sarkar & Shubh N. Singh. (2022) Regular and unit-regular elements in various monoids of transformations. Journal of Algebra and Its Applications 22:11.
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Mosarof Sarkar & Shubh N. Singh. (2021) Regular, unit-regular, and idempotent elements of semigroups of transformations that preserve a partition. Semigroup Forum 104:1, pages 148-165.
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Jorge André & Janusz Konieczny. (2020) Semigroups of partial transformations with kernel and image restricted by an equivalence. Semigroup Forum 102:1, pages 10-27.
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Jittisak Rakbud & Malinee Chaiya. (2020) Regularity of Semigroups of Transformations Whose Characters Form the Semigroup of a -Structure . International Journal of Mathematics and Mathematical Sciences 2020, pages 1-7.
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Janusz Konieczny. (2018) Second centralizers in the semigroup of injective transformations. Asian-European Journal of Mathematics 13:04, pages 2050069.
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Nares Sawatraksa, Chaiwat Namnak & Ronnason Chinram. (2019) Left and right regular elements of the semigroups of transformations preserving an equivalence relation and a cross-section. Asian-European Journal of Mathematics 12:04, pages 1950058.
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João Araújo, Wolfram Bentz & Gracinda M. S. Gomes. (2018) Congruences on direct products of transformation and matrix monoids. Semigroup Forum 97:3, pages 384-416.
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Chollawat Pookpienlert, Preeyanuch Honyam & Jintana Sanwong. (2018) Green’s Relations on a Semigroup of Transformations with Restricted Range that Preserves an Equivalence Relation and a Cross-Section. Mathematics 6:8, pages 134.
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Janusz Konieczny. (2017) Centralizers of full injective transformations in the symmetric inverse semigroup. Semigroup Forum 96:3, pages 474-488.
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João Araújo, Wolfram Bentz & Janusz Konieczny. (2016) Directed graphs of inner translations of semigroups. Semigroup Forum 94:3, pages 650-673.
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Lei SUN & Xuefeng HAN. (2016) Abundance of $E$-order-preserving transformation semigroups. TURKISH JOURNAL OF MATHEMATICS 40, pages 32-37.
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JOÃO ARAÚJO, WOLFRAM BENTZ, JAMES D. MITCHELL & CSABA SCHNEIDER. (2015) The rank of the semigroup of transformations stabilising a partition of a finite set. Mathematical Proceedings of the Cambridge Philosophical Society 159:2, pages 339-353.
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João Araújo, Wolfram Bentz & Konieczny Janusz. (2015) The commuting graph of the symmetric inverse semigroup. Israel Journal of Mathematics 207:1, pages 103-149.
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João Araújo, Wolfram Bentz & Janusz Konieczny. (2014) The largest subsemilattices of the endomorphism monoid of an independence algebra. Linear Algebra and its Applications 458, pages 60-79.
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LEI SUN & LIMIN WANG. (2013) ABUNDANCE OF THE SEMIGROUP OF ALL TRANSFORMATIONS OF A SET THAT REFLECT AN EQUIVALENCE RELATION. Journal of Algebra and Its Applications 13:02, pages 1350088.
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João Araújo, Janusz Konieczny & António Malheiro. (2014) Conjugation in semigroups. Journal of Algebra 403, pages 93-134.
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LEI SUN & JUNLING SUN. (2013) A PARTIAL ORDER ON TRANSFORMATION SEMIGROUPS THAT PRESERVE DOUBLE DIRECTION EQUIVALENCE RELATION. Journal of Algebra and Its Applications 12:08, pages 1350041.
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JANUSZ KONIECZNY. (2012) CENTRALISERS IN THE INFINITE SYMMETRIC INVERSE SEMIGROUP. Bulletin of the Australian Mathematical Society 87:3, pages 462-479.
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LEI SUN & LIMIN WANG. (2012) NATURAL PARTIAL ORDER IN SEMIGROUPS OF TRANSFORMATIONS WITH INVARIANT SET. Bulletin of the Australian Mathematical Society 87:1, pages 94-107.
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João Araújo & Janusz Konieczny. (2013) Centralizers in the Full Transformation Semigroup. Semigroup Forum 86:1, pages 1-31.
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João Araújo & Janusz Konieczny. (2012) A method for finding new sets of axioms for classes of semigroups. Archive for Mathematical Logic 51:5-6, pages 461-474.
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Lei Sun, Weina Deng & Huisheng Pei. (2012) Naturally Ordered Transformation Semigroups Preserving an Equivalence Relation and a Cross-section. Algebra Colloquium 18:03, pages 523-532.
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Jorge André, João Araújo & Janusz Konieczny. (2010) Regular centralizers of idempotent transformations. Semigroup Forum 82:2, pages 307-318.
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Huisheng Pei & Huijuan Zhou. (2012) Abundant Semigroups of Transformations Preserving an Equivalence Relation. Algebra Colloquium 18:01, pages 77-82.
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Janusz Konieczny. (2010) Infinite injective transformations whose centralizers have simple structure. Central European Journal of Mathematics 9:1, pages 23-35.
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João Araújo, Michael Kinyon & Janusz Konieczny. (2011) Minimal paths in the commuting graphs of semigroups. European Journal of Combinatorics 32:2, pages 178-197.
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JANUSZ KONIECZNY. (2010) CENTRALIZERS IN THE SEMIGROUP OF INJECTIVE TRANSFORMATIONS ON AN INFINITE SET. Bulletin of the Australian Mathematical Society 82:2, pages 305-321.
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Huisheng Pei & Weina Deng. (2009) A note on Green’s relations in the semigroups T(X,ρ). Semigroup Forum 79:1, pages 210-213.
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