Please use this identifier to cite or link to this item:
http://hdl.handle.net/10995/102007
Title: | Local finiteness for Green’s relations in semigroup varieties |
Authors: | Volkov, M. V. Silva, P. V. Soares, F. |
Issue Date: | 2018 |
Publisher: | Taylor and Francis Inc. |
Citation: | Volkov M. V. Local finiteness for Green’s relations in semigroup varieties / M. V. Volkov, P. V. Silva, F. Soares. — DOI 10.1080/00927872.2018.1448850 // Communications in Algebra. — 2018. — Vol. 46. — Iss. 11. — P. 4625-4653. |
Abstract: | A semigroup variety is said to be locally 𝒦-finite, where 𝒦 stands for any of Green’s relations ℋ, ℛ, ℒ, 𝒟, or 𝒥, if every finitely generated semigroup in this variety has only finitely many 𝒦-classes. We characterize locally 𝒦-finite varieties of finite axiomatic rank in the language of “forbidden objects”. © 2018, © 2018 Taylor & Francis. |
Keywords: | GREEN’S RELATION LOCAL FINITENESS NOVIKOV–ADIAN GROUP SEMIGROUP VARIETY |
URI: | http://hdl.handle.net/10995/102007 |
Access: | info:eu-repo/semantics/openAccess |
SCOPUS ID: | 85045839184 |
PURE ID: | 7890183 b832635b-1723-4a33-a893-8b05843624a8 |
ISSN: | 927872 |
DOI: | 10.1080/00927872.2018.1448850 |
Appears in Collections: | Научные публикации, проиндексированные в SCOPUS и WoS CC |
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