Results 21 to 30 of about 539,900 (289)
Bimultiplications and Annihilators of Crossed Modules in Associative Algebras
Journal of New Theory, 2021 In this paper, we present a generalization of the concept of the bimultiplication algebra by defining the bimultiplication of crossed modules in associative algebras.
Ummahan Ege Arslan, Serdar Hürmetli
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Fibrations of 2‐crossed modules
Mathematical Methods in the Applied Sciences, 2018 In this study, we mainly show that the functor from the category X2Mod of 2‐crossed modules of groups to the category Groups of groups assigning to each 2‐crossed module the group P, and to each 2‐crossed module morphism the group homomorphism f0 is a fibration. In addition, we study some related properties.
Ummahan Ege Arslan +3 more
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Higher Chern-Simons-Antoniadis-Savvidy forms based on crossed modules
Physics Letters BWe present higher Chern-Simons-Antoniadis-Savvidy (ChSAS) forms based on crossed modules. We start from introducing a generalized multilinear symmetric invariant polynomial for the differential crossed modules and constructing a metric independent ...
Danhua Song, Ke Wu, Jie Yang
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Pseudo Simplicial Algebras, Crossed Modules and 2-Crossed Modules
, 2022 In this paper we define pseudo 2-crossed module of commutative algebras and we give relations between the pseudo 2-crossed modules ofcommutative algebras and pseudo simplicial algebras with Moore complex of length 2.
PAK, Sedat, AKÇA, İbrahim İlker
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Crossed squares, crossed modules over groupoids and cat$^{\bf {1-2}}-$groupoids [PDF]
Categories and General Algebraic Structures with Applications, 2020 The aim of this paper is to introduce the notion of cat$^{\bf {1}}-$groupoids which are the groupoid version of cat$^{\bf {1}}-$groups and to prove the categorical equivalence between crossed modules over groupoids and cat$^{\bf {1}}-$groupoids.
Sedat Temel
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Crossed Corner and Reduced Simplicial Commutative Algebras
Journal of New Theory, 2023 In this paper, we describe the crossed corner of commutative algebras and present the relation between the category of crossed corners of commutative algebras and the category of reduced simplicial commutative algebras with Moore complex of length 2.
Özgün Gürmen Alansal
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On Quasi Quadratic Modules of Lie Algebras
Journal of New Theory, 2022 This study introduces the category of quasi-quadratic modules of Lie algebras and discusses the functorial relations between quasi-quadratic modules and quadratic modules of Lie algebras.
Ummahan Ege Arslan, Emre Özel
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Kinds of crossed modules [PDF]
مجلة التربية والعلم, 2009 This investigate concerned with some kinds of crossed module like pre cross modules, partially crossed module and crossed squares and it relations with semi-direct products of crossed module.
Loma Ahmed Khalel +1 more
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Crossed modules bifibred over k-Algebras
Cumhuriyet Science Journal, 2021 In this paper we examine on a pair of adjoint functors (ϕ^* ,ϕ_*)for a subcategory of the category of crossed modules over commutative algebras where ϕ_*: XMod/P → XMod/Q, induced, and ϕ^*:XMod/Q → XMod/P, pullback (co-induced), which enables us to move
Özgün Gürmen Alansal +1 more
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Homotopies of 2-Algebra Morphisms
Communications in Advanced Mathematical Sciences, 2022 In [1] it is defined the notion of 2-algebra as a categorification of algebras, and shown that the category of strict 2-algebras is equivalent to the category of crossed modules in commutative algebras.
Ummahan Ege Arslan, İbrahim Akça
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