Nearrings: some developments linked to semigroups and groups

This work presents new and old constructions of nearrings. Links between properties of the multiplicative of nearrings (as regularity conditions and identities) and the structure of nearrings are studied. Primality and minimality properties of ideals are collected. Some types of `simpler' nearr...

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Detalles Bibliográficos
Autores principales: Ferrero, Celestina Cotti, Ferrero, Giovanni
Lenguaje:eng
Publicado: Springer 2002
Materias:
Mathematical Physics and Mathematics
Acceso en línea:https://dx.doi.org/10.1007/978-1-4613-0267-4
http://cds.cern.ch/record/2023720
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author Ferrero, Celestina Cotti
Ferrero, Giovanni
author_facet Ferrero, Celestina Cotti
Ferrero, Giovanni
author_sort Ferrero, Celestina Cotti
collection CERN
description This work presents new and old constructions of nearrings. Links between properties of the multiplicative of nearrings (as regularity conditions and identities) and the structure of nearrings are studied. Primality and minimality properties of ideals are collected. Some types of `simpler' nearrings are examined. Some nearrings of maps on a group are reviewed and linked with group-theoretical and geometrical questions. Audience: Researchers working in nearring theory, group theory, semigroup theory, designs, and translation planes. Some of the material will be accessible to graduate students.
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institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2002
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spelling cern-20237202021-04-21T20:12:10Zdoi:10.1007/978-1-4613-0267-4http://cds.cern.ch/record/2023720engFerrero, Celestina CottiFerrero, GiovanniNearrings: some developments linked to semigroups and groupsMathematical Physics and MathematicsThis work presents new and old constructions of nearrings. Links between properties of the multiplicative of nearrings (as regularity conditions and identities) and the structure of nearrings are studied. Primality and minimality properties of ideals are collected. Some types of `simpler' nearrings are examined. Some nearrings of maps on a group are reviewed and linked with group-theoretical and geometrical questions. Audience: Researchers working in nearring theory, group theory, semigroup theory, designs, and translation planes. Some of the material will be accessible to graduate students.Springeroai:cds.cern.ch:20237202002
spellingShingle Mathematical Physics and Mathematics
Ferrero, Celestina Cotti
Ferrero, Giovanni
Nearrings: some developments linked to semigroups and groups
title Nearrings: some developments linked to semigroups and groups
title_full Nearrings: some developments linked to semigroups and groups
title_fullStr Nearrings: some developments linked to semigroups and groups
title_full_unstemmed Nearrings: some developments linked to semigroups and groups
title_short Nearrings: some developments linked to semigroups and groups
title_sort nearrings: some developments linked to semigroups and groups
topic Mathematical Physics and Mathematics
url https://dx.doi.org/10.1007/978-1-4613-0267-4
http://cds.cern.ch/record/2023720
work_keys_str_mv AT ferrerocelestinacotti nearringssomedevelopmentslinkedtosemigroupsandgroups
AT ferrerogiovanni nearringssomedevelopmentslinkedtosemigroupsandgroups

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