2-Quasi crossed modules of commutative algebras

Emir Kadir

doi:10.37863/umzh.v74i3.467

Emir Kadir Dep. Math. and Stat., Masaryk Univ., Brno, Czech Republic https://orcid.org/0000-0003-4369-3508

DOI: https://doi.org/10.37863/umzh.v74i3.467

Keywords: 2-quasi crossed module, commutative algebra, coproduct

Abstract

UDC 512.6

We define 2-quasi crossed modules of commutative algebras obtained by relaxing some 2-crossed module conditions. Moreover, we prove that there exists a functorial relationship between these two structures which enables us to construct the coproduct object in the category of 2-crossed modules of commutative algebras.

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