Results 11 to 20 of about 539,900 (289)
Coproduct of Crossed A-Modules of R-Algebroids
Topological Algebra and its Applications, 2017 In this study we construct, in the category XAlg(R) / A of crossed A-modules of R-algebroids, the coproduct of given two crossed A-modules M = (μ : M → A) and N = (ɳ : N → A) of R-algebroids in two different ways: Firstly we construct the coproduct M ᴼ ...
Avcıoglu Osman, Akça Ibrahim Ilker
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فی المقاسات والتشاکلات التصالبیة [PDF]
Al-Rafidain Journal of Computer Sciences and Mathematics, 2008 The purpose of this paper is to study the crossed modules and crossed homomonphisms, and since these concepts are related to the group actions on groups we presented these types of ...
Abdul Aali J. Mohammed, Manal Abd Fathi
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Coverings and liftings of generalized crossed modules [PDF]
Categories and General Algebraic Structures with Applications, 2022 In the theory of crossed modules, considering arbitrary selfactions instead of conjugation allows for the extension of the concept of crossed modules and thus the notion of generalized crossed module emerges.
Gamze Aytekin Arıcı, Tunçar Şahan
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Notices of the American Mathematical Society, 2023 This is an overview of the idea of a crossed module. For a group, the triple that consists of the group, its group of automorphisms, and the canonical homomorphism from the group to its group of automorphisms constitutes a crossed module. Crossed modules arise from the identities among the relations of the presentation of a group, from the extension ...
Huebschmann, Johannes
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Commutativity Degree of Crossed Modules [PDF]
TURKISH JOURNAL OF MATHEMATICS, 2021 Summary: In this work, we define the notion of commutativity degree of crossed modules and find some bounds on commutativity degree for special types of crossed modules. Also, we give a function for finding commutativity degree of crossed modules in \textsf{GAP} and classify crossed modules by using this function.
ODABAŞ, ALPER +2 more
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Categories internal to crossed modules [PDF]
Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2019 Inthis study, internal categories in the category of the crossed modules arecharacterized and it has been shown that there is a natural equivalence betweenthe category of crossed modules over crossed modules, i.e.
Tunçar Şahan, Jihad Jamil Mohammed
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Homology, Homotopy and Applications, 2009 We introduce the notion of 3-crossed module, which extends the notions of 1-crossed module (Whitehead) and 2-crossed module (Conduché). We show that the category of 3-crossed modules is equivalent to the category of simplicial groups having a Moore complex of length 3.
Arvasi, Z. +2 more
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4-Dimensional 2-Crossed Modules
Journal of New Theory, 2022 In this work, we defined a new category called 4-Dimensional 2-crossed modules. We identified the subobjects and ideals in this category. The notion of the subobject is a generalization of ideas like subsets from set theory, subspaces from topology, and ...
Elis Soylu Yılmaz
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, 2021 This book presents material in two parts. Part one provides an introduction to crossed modules of groups, Lie algebras and associative algebras with fully written out proofs and is suitable for graduate students interested in homological algebra. In part
Wagemann, F.
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Annihilators, Multipliers and Crossed Modules
Applied Categorical Structures, 2003 Actor squares for a crossed module of groups were introduced by \textit{K. Norrie} [Bull. Soc. Math. Fr. 118, 129--146 (1990; Zbl 0719.20018)] as an analogue of automorphism groups. Like many of the concepts and tools of group based crossed module theory, the actor square can be generalised to various other types of crossed module.
Arvasi, ZEKERİYA, Ege, UMMAHAN
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