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arXiv · 1108.3209

Categorical Results in the Theory of Two-Crossed Modules of Commutative Algebras

Ummahan Ege Arslan·Gülümsen Onarlı
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Abstract

In this paper we explore some categorical results of 2-crossed module of commutative algebras extending work of Porter in [18]. We also show that the forgetful functor from the category of 2-crossed modules to the category of k-algebras, taking {L, M, P, \partial_2, \partial_1} to the base algebra P, is fibred and cofibred considering the pullback (coinduced) and induced 2-crossed modules constructions, respectively. Also we consider free 2- crossed modules as an application of induced 2-crossed modules.

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Ummahan Ege Arslan, Gülümsen Onarlı. 2011-08-16. Categorical Results in the Theory of Two-Crossed Modules of Commutative Algebras. https://arxiv.org/abs/1108.3209

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