Orthodox semigroups and permutation matchings
العنوان: | Orthodox semigroups and permutation matchings |
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المؤلفون: | Peter M. Higgins |
سنة النشر: | 2018 |
مصطلحات موضوعية: | Involution (mathematics), Algebra and Number Theory, Mathematics::Combinatorics, Semigroup, 010102 general mathematics, 20M17, 0102 computer and information sciences, Group Theory (math.GR), 01 natural sciences, Combinatorics, 010201 computation theory & mathematics, FOS: Mathematics, 0101 mathematics, Mathematics - Group Theory, Mathematics |
الوصف: | We determine when an orthodox semigroup S has a permutation that sends each member of S to one of its inverses and show that if such a permutation exists, it may be taken to be an involution. In the case of a finite orthodox semigroup the condition is an effective one involving Green's relations on the combinatorial images of the principal factors of S. We also characterise some classes of semigroups via their permutation matchings. 13 pages |
اللغة: | English |
URL الوصول: | https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2c28e15fc33498d51e58c02b324e19e4 http://arxiv.org/abs/1812.03743 |
حقوق: | OPEN |
رقم الأكسشن: | edsair.doi.dedup.....2c28e15fc33498d51e58c02b324e19e4 |
قاعدة البيانات: | OpenAIRE |
الوصف غير متاح. |