Results 31 to 40 of about 709,594 (295)
The universal property of commutative algebras' internal crossed modules
Journal of New Results in Science, 2023 In this work, we identify subobjects and ideals in the category of internal crossed modules, which provide a deeper understanding of the structure of these objects.
Elis Soylu Yılmaz
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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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Universal enveloping crossed module of a Lie crossed module [PDF]
Homology, Homotopy and Applications, 2014 Crossed modules of Lie algebras are interesting from several points of view: Crossed modules can be interpreted as easy (``strict'') Lie 2-algebras, they represent 3-cohomology classes and are linked to extension theory. Similar statements apply to crossed modules of associative algebras.
Casas, José Manuel +3 more
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On Lie bialgebroid crossed modules [PDF]
International Journal of Mathematics, 2021 We study Lie bialgebroid crossed modules which are pairs of Lie algebroid crossed modules in duality that canonically give rise to Lie bialgebroids. A one-one correspondence between such Lie bialgebroid crossed modules and co-quadratic Manin triples [Formula: see text] is established, where [Formula: see text] is a co-quadratic Lie algebroid and ...
Honglei Lang, Yu Qiao, Yanbin Yin
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On Modules and Crossed Modules
Journal of Algebra, 1996 This is an elegant paper which, as claimed by the authors, is ``without any result''. It is a `meditation on the concept of module'. By examining a possible unifying concept of crossed module and modulated model in a very general context of algebraic theories, the authors then examine how these concepts clarify the various examples of module, crossed ...
Lavendhomme, R., Lucas, Th.
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GA Optimisation of Crossed Dipole FSS Array Geometry [PDF]
, 2001 Crossed dipoles are used as dual polarised elements in frequency selective surface arrays but the transmission response is angle of incidence dependent. A genetic algorithm has been used to minimise the drift of the reflection band, stabilising it for a ...
Parker, Edward A. +2 more
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Journal of New Theory, 2022 In this study, internal categories in the category of cat-1 groups, 1-cat, are determined, and it is investigated whether there is a natural equivalence between the category of these categories and the category of internal categories within the category ...
Ummahan Ege Arslan, Elis Soylu Yılmaz
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A numerical approach to study the impact of packing density on fluid flow distribution in hollow fiber module. [PDF]
, 2010 The aim of this study was to analyze the influence of hollow fiber module design, specially packing density, and filtration operating mode on the filtration performance.
Günther, Jan +3 more
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Categories internal to crossed modules
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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Crossed module bundle gerbes; classification, string group and differential geometry [PDF]
, 2011 We discuss nonabelian bundle gerbes and their differential geometry using simplicial methods. Associated to a (Lie) crossed module (H → D) there is a simplicial group [Formula: see text], the nerve of the groupoid [Formula: see text] defined by the ...
BRANISLAV JURČO +2 more
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