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On classification of maximal nilpotent subsemigroups
Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics, Algebra, Geometry and Logic. (Algebra)
2008 (English)In: Journal of Algebra, ISSN 0021-8693, Vol. 320, no 8, 3081-3103 p.Article in journal (Refereed) Published
Abstract [en]

We develop a general approach to the study of maximal nilpotent subsemigroups of finite semigroups. This approach can be used to recover many known classifications of maximal nilpotent subsemigroups, in particular, for the symmetric inverse semigroup, the symmetric semigroup, and the factor power of the symmetric group. We also apply this approach to obtain a classification of maximal nilpotent subsemigroups in the semigroup of binary relations and in certain 0-simple finite semigroups.

Place, publisher, year, edition, pages
2008. Vol. 320, no 8, 3081-3103 p.
Keyword [en]
nilpotent semigroup, minimal idempotent, factorpower, binary relation, Green's relation
National Category
URN: urn:nbn:se:uu:diva-105796DOI: 10.1016/j.jalgebra.2008.07.017ISI: 000259715600001OAI: oai:DiVA.org:uu-105796DiVA: diva2:222498
Available from: 2009-06-08 Created: 2009-06-08 Last updated: 2009-08-27Bibliographically approved

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Algebra, Geometry and Logic
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