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Полная запись метаданных
Поле DC | Значение | Язык |
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dc.contributor.author | Muhammed, P. A. A. | en |
dc.contributor.author | Volkov, M. V. | en |
dc.date.accessioned | 2021-08-31T15:00:24Z | - |
dc.date.available | 2021-08-31T15:00:24Z | - |
dc.date.issued | 2019 | - |
dc.identifier.citation | Muhammed P. A. A. Inductive groupoids and cross-connections of regular semigroups / P. A. A. Muhammed, M. V. Volkov. — DOI 10.1007/s10474-018-0888-6 // Acta Mathematica Hungarica. — 2019. — Vol. 157. — Iss. 1. — P. 80-120. | en |
dc.identifier.issn | 2365294 | - |
dc.identifier.other | Final | 2 |
dc.identifier.other | All Open Access, Green | 3 |
dc.identifier.other | https://www.scopus.com/inward/record.uri?eid=2-s2.0-85058111064&doi=10.1007%2fs10474-018-0888-6&partnerID=40&md5=87ca899576e2c937b0ae3936da8de5b5 | |
dc.identifier.other | http://arxiv.org/pdf/1804.04743 | m |
dc.identifier.uri | http://elar.urfu.ru/handle/10995/101893 | - |
dc.description.abstract | There are two major structure theorems for an arbitrary regular semigroup using categories, both due to Nambooripad. The first construction using inductive groupoids departs from the biordered set structure of a given regular semigroup. This approach belongs to the realm of the celebrated Ehresmann–Schein–Nambooripad Theorem and its subsequent generalisations. The second construction is a generalisation of Grillet’s work on cross-connected partially ordered sets, arising from the principal ideals of the given semigroup. In this article, we establish a direct equivalence between these two seemingly different constructions. We show how the cross-connection representation of a regular semigroup may be constructed directly from the inductive groupoid of the semigroup, and vice versa. © 2018, Akadémiai Kiadó, Budapest, Hungary. | en |
dc.format.mimetype | application/pdf | en |
dc.language.iso | en | en |
dc.publisher | Springer Netherlands | en |
dc.rights | info:eu-repo/semantics/openAccess | en |
dc.source | Acta Math. Hung. | 2 |
dc.source | Acta Mathematica Hungarica | en |
dc.subject | BIORDERED SET | en |
dc.subject | CROSSCONNECTION | en |
dc.subject | INDUCTIVE GROUPOID | en |
dc.subject | NORMAL CATEGORY | en |
dc.subject | REGULAR SEMIGROUP | en |
dc.title | Inductive groupoids and cross-connections of regular semigroups | en |
dc.type | Article | en |
dc.type | info:eu-repo/semantics/article | en |
dc.type | info:eu-repo/semantics/publishedVersion | en |
dc.identifier.doi | 10.1007/s10474-018-0888-6 | - |
dc.identifier.scopus | 85058111064 | - |
local.contributor.employee | Muhammed, P.A.A., Institute of Natural Sciences and Mathematics, Ural Federal University, Ekaterinburg, 620000, Russian Federation | |
local.contributor.employee | Volkov, M.V., Institute of Natural Sciences and Mathematics, Ural Federal University, Ekaterinburg, 620000, Russian Federation | |
local.description.firstpage | 80 | - |
local.description.lastpage | 120 | - |
local.issue | 1 | - |
local.volume | 157 | - |
local.contributor.department | Institute of Natural Sciences and Mathematics, Ural Federal University, Ekaterinburg, 620000, Russian Federation | |
local.identifier.pure | 9071508 | - |
local.identifier.pure | 2dfa2f9e-c606-4a47-8a0d-9040ef0968f9 | uuid |
local.identifier.eid | 2-s2.0-85058111064 | - |
Располагается в коллекциях: | Научные публикации ученых УрФУ, проиндексированные в SCOPUS и WoS CC |
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2-s2.0-85058111064.pdf | 420,57 kB | Adobe PDF | Просмотреть/Открыть |
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