Cross-connection structure of locally inverse semigroups
Электронный научный архив УРФУ
Информация об архиве | Просмотр оригинала| Поле | Значение | |
| Заглавие |
Cross-connection structure of locally inverse semigroups
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| Автор |
Azeef, Muhammed, P. A.
Volkov, M. V. Auinger, K. |
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| Тематика |
CATEGORY
COMPLETELY 0 -SIMPLE SEMIGROUP CROSS-CONNECTION EHRESMANN-SCHEIN-NAMBOORIPAD THEOREM INVERSE SEMIGROUP LOCALLY INVERSE SEMIGROUP REES THEOREM |
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| Описание |
Locally inverse semigroups are regular semigroups whose idempotents form pseudo-semilattices. We characterize the categories that correspond to locally inverse semigroups in the realm of Nambooripad's cross-connection theory. Further, we specialize our cross-connection description of locally inverse semigroups to inverse semigroups and completely 0-simple semigroups, obtaining structure theorems for these classes. In particular, we show that the structure theorem for inverse semigroups can be obtained using only one category, quite analogous to the Ehresmann-Schein-Nambooripad Theorem; for completely 0-simple semigroups, we show that cross-connections coincide with structure matrices, thus recovering the Rees Theorem by categorical tools. © 2023 World Scientific Publishing Company.
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| Дата |
2024-04-05T16:20:00Z
2024-04-05T16:20:00Z 2023 |
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| Тип |
Article
Journal article (info:eu-repo/semantics/article) |info:eu-repo/semantics/submittedVersion |
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| Идентификатор |
Azeef Muhammed, PA, Volkov, MV & Auinger, K 2023, 'Cross-connection structure of locally inverse semigroups', International Journal of Algebra and Computation, Том. 33, № 01, стр. 123-159. https://doi.org/10.1142/S0218196723500091
Azeef Muhammed, P. A., Volkov, M. V., & Auinger, K. (2023). Cross-connection structure of locally inverse semigroups. International Journal of Algebra and Computation, 33(01), 123-159. https://doi.org/10.1142/S0218196723500091 0218-1967 Final All Open Access, Green https://www.scopus.com/inward/record.uri?eid=2-s2.0-85144544350&doi=10.1142%2fS0218196723500091&partnerID=40&md5=9e8d8a9de1d6058ba8f56906c88c2766 https://arxiv.org/pdf/1912.00214 http://elar.urfu.ru/handle/10995/130415 10.1142/S0218196723500091 85144544350 000895570900003 |
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| Язык |
en
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| Права |
Open access (info:eu-repo/semantics/openAccess)
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| Формат |
application/pdf
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| Издатель |
World Scientific
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| Источник |
International Journal of Algebra and Computation
International Journal of Algebra and Computation |
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