The semigroup ring of a restriction semigroup with an inverse skeleton
Autor(a) principal: | |
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Data de Publicação: | 2015 |
Outros Autores: | , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
Texto Completo: | http://hdl.handle.net/10400.21/6005 |
Resumo: | In this paper we investigate some classes of semigroup rings with respect to (semi)primeness and (semi)primitivity. We do so by extending the techniques developed by Munn in (Proc R Soc Edinbur Sect A 107:175-196, 1987) and (Proc R Soc Edinbur Sect A 115:109-117, 1990) for the study of semigroup rings of inverse semigroups. Restriction, weakly ample and ample semigroups are considered. |
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The semigroup ring of a restriction semigroup with an inverse skeletonAmple semigroupInverse skeletonPseudofinite semilatticeRestriction semigroupSemigroup ring(Semi)prime(Semi)primitiveIn this paper we investigate some classes of semigroup rings with respect to (semi)primeness and (semi)primitivity. We do so by extending the techniques developed by Munn in (Proc R Soc Edinbur Sect A 107:175-196, 1987) and (Proc R Soc Edinbur Sect A 115:109-117, 1990) for the study of semigroup rings of inverse semigroups. Restriction, weakly ample and ample semigroups are considered.SPRINGERRCIPLGomes, Gracinda M. S.Santa-Clara, CatarinaSoares, Filipa2016-04-15T16:35:26Z2015-042015-04-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10400.21/6005engGOMES, GRACINDA M. S.; SANTA-CLARA, CATARINA; SOARES, FILIPA; - The semigroup ring of a restriction semigroup with an inverse skeleton. Semigroup Forum. ISSN. 0037-1912. Vol. 90, N.º 2 (2015), pp. 449-474.0037-191210.1007/s00233-014-9612-1metadata only accessinfo:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2023-08-03T09:50:15Zoai:repositorio.ipl.pt:10400.21/6005Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T20:15:13.203012Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse |
dc.title.none.fl_str_mv |
The semigroup ring of a restriction semigroup with an inverse skeleton |
title |
The semigroup ring of a restriction semigroup with an inverse skeleton |
spellingShingle |
The semigroup ring of a restriction semigroup with an inverse skeleton Gomes, Gracinda M. S. Ample semigroup Inverse skeleton Pseudofinite semilattice Restriction semigroup Semigroup ring (Semi)prime (Semi)primitive |
title_short |
The semigroup ring of a restriction semigroup with an inverse skeleton |
title_full |
The semigroup ring of a restriction semigroup with an inverse skeleton |
title_fullStr |
The semigroup ring of a restriction semigroup with an inverse skeleton |
title_full_unstemmed |
The semigroup ring of a restriction semigroup with an inverse skeleton |
title_sort |
The semigroup ring of a restriction semigroup with an inverse skeleton |
author |
Gomes, Gracinda M. S. |
author_facet |
Gomes, Gracinda M. S. Santa-Clara, Catarina Soares, Filipa |
author_role |
author |
author2 |
Santa-Clara, Catarina Soares, Filipa |
author2_role |
author author |
dc.contributor.none.fl_str_mv |
RCIPL |
dc.contributor.author.fl_str_mv |
Gomes, Gracinda M. S. Santa-Clara, Catarina Soares, Filipa |
dc.subject.por.fl_str_mv |
Ample semigroup Inverse skeleton Pseudofinite semilattice Restriction semigroup Semigroup ring (Semi)prime (Semi)primitive |
topic |
Ample semigroup Inverse skeleton Pseudofinite semilattice Restriction semigroup Semigroup ring (Semi)prime (Semi)primitive |
description |
In this paper we investigate some classes of semigroup rings with respect to (semi)primeness and (semi)primitivity. We do so by extending the techniques developed by Munn in (Proc R Soc Edinbur Sect A 107:175-196, 1987) and (Proc R Soc Edinbur Sect A 115:109-117, 1990) for the study of semigroup rings of inverse semigroups. Restriction, weakly ample and ample semigroups are considered. |
publishDate |
2015 |
dc.date.none.fl_str_mv |
2015-04 2015-04-01T00:00:00Z 2016-04-15T16:35:26Z |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/article |
format |
article |
status_str |
publishedVersion |
dc.identifier.uri.fl_str_mv |
http://hdl.handle.net/10400.21/6005 |
url |
http://hdl.handle.net/10400.21/6005 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
GOMES, GRACINDA M. S.; SANTA-CLARA, CATARINA; SOARES, FILIPA; - The semigroup ring of a restriction semigroup with an inverse skeleton. Semigroup Forum. ISSN. 0037-1912. Vol. 90, N.º 2 (2015), pp. 449-474. 0037-1912 10.1007/s00233-014-9612-1 |
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metadata only access info:eu-repo/semantics/openAccess |
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metadata only access |
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openAccess |
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application/pdf |
dc.publisher.none.fl_str_mv |
SPRINGER |
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SPRINGER |
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RCAAP |
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RCAAP |
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Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
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Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
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Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
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