Zobrazeno 1 - 10
of 42
pro vyhledávání: '"J. N. Alonso Álvarez"'
Publikováno v:
Journal of Algebra. 568:408-436
In this paper we prove that the category of finite quasigroupoids is equivalent to the one of pointed cosemisimple weak Hopf quasigroups over a given field K . As a consequence, if K is algebraically closed, we obtain that the categories of finite qu
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7325a447938c4e33ad46461559fd933d
https://doi.org/10.1016/j.jalgebra.2020.10.011
https://doi.org/10.1016/j.jalgebra.2020.10.011
Publikováno v:
Algebra Colloquium. 27:213-230
In this paper we give necessary and sufficient conditions for a comodule magma over a weak Hopf quasigroup to have a total integral, thus extending the theories developed in the Hopf algebra, weak Hopf algebra and non-associative Hopf algebra context
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5e46423063691449a3bb0a8badb0c662
https://doi.org/10.1142/s1005386720000188
https://doi.org/10.1142/s1005386720000188
Publikováno v:
Journal of Pure and Applied Algebra. 224:586-609
In this paper we develop a descent theory for morphisms α between a monoid B and a unital magma A in a monoidal category with equalizers and coequalizers. We introduce the category of strong descent data for α and we prove that under faithfully fla
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3efc5b5c3027b1dd3cedcc14ae73ee9f
https://doi.org/10.1016/j.jpaa.2019.06.002
https://doi.org/10.1016/j.jpaa.2019.06.002
Publikováno v:
Bulletin of the Malaysian Mathematical Sciences Society. 43:3557-3615
In this paper, we introduce the theory of multiplication alteration by two-cocycles for non-associative structures like non-associative bimonoids with left (right) division. Also, we explore the connections between Yetter–Drinfeld modules for Hopf
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::764c888f811b0b8565d95f5ef63fabe7
https://doi.org/10.1007/s40840-019-00885-8
https://doi.org/10.1007/s40840-019-00885-8
Publikováno v:
Bulletin of the Malaysian Mathematical Sciences Society. 42:2701-2738
In this paper, we introduce the notion of weak nonassociative Doi–Hopf module and give the Fundamental Theorem of Hopf modules in this setting. Also, we prove that there exists a categorical equivalence that admits as particular instances the ones
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7966d91363f6f0b896283415d8b7c71a
https://doi.org/10.1007/s40840-018-0624-y
https://doi.org/10.1007/s40840-018-0624-y
Publikováno v:
Quaestiones Mathematicae. 40:251-275
In this paper, for 𝒞 a strict braided monoidal category with tensor product ⊗, we improve the definition of Hom-associative algebra by removing the multiplicativity condition of the automorphism α....
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::cac14db1c6565e90090531935871c3c5
https://doi.org/10.2989/16073606.2017.1284912
https://doi.org/10.2989/16073606.2017.1284912
Publikováno v:
Minerva. Repositorio Institucional de la Universidad de Santiago de Compostela
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Let H be a cocommutative faithfully flat Hopf quasigroup in a strict symmetric monoidal category with equalizers. In this paper we introduce the notion of (strong) Galois H-object and we prove that the set of isomorphism classes of (strong) Galois H-
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::38dcc7700dd694018b76f95aeb5a8c58
https://doi.org/10.4134/jkms.j160118
https://doi.org/10.4134/jkms.j160118
Publikováno v:
Colloquium Mathematicum. 148:231-246
In this paper we introduce the category of strong Hopf modules for a weak Hopf quasigroup H in a braided monoidal category. We also prove that this category is equivalent to the category of right modules over the image of the target morphism of H.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6d235135acc30af17787167e3c35ba3d
https://doi.org/10.4064/cm6967-6-2016
https://doi.org/10.4064/cm6967-6-2016
Autor:
J. N. Alonso Álvarez, C. Soneira Calvo
Publikováno v:
Communications in Algebra. 44:3727-3742
In this article, we give necessary and sufficient conditions for a possibly nonassociative comodule algebra over a nonassociative Hopf algebra to have a total integral, thus extending the classical theory developed by Doi in the associative setting.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::733fec6f33bd45bb31dd63db3dbf208f
https://doi.org/10.1080/00927872.2015.1087005
https://doi.org/10.1080/00927872.2015.1087005
Publikováno v:
Mediterranean Journal of Mathematics. 13:3747-3764
In this paper, we show that weak Hopf (co)quasigroups can be characterized by a Galois-type condition. Taking into account that this notion generalizes the ones of Hopf (co)quasigroup and weak Hopf algebra, we obtain as a consequence the first fundam
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::2909e7e38ccd24fc99f9c201ade9af21
https://doi.org/10.1007/s00009-016-0712-x
https://doi.org/10.1007/s00009-016-0712-x