Open Access
June 2018 Crossed semimodules of categories and Schreier 2-categories
Sedat Temel
Tbilisi Math. J. 11(2): 47-57 (June 2018). DOI: 10.32513/tbilisi/1529460021

Abstract

The main idea of this paper is to introduce the notion of a Schreier 2-category and of a crossed semimodule over categories and to prove the categorical equivalence between their categories.

Citation

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Sedat Temel. "Crossed semimodules of categories and Schreier 2-categories." Tbilisi Math. J. 11 (2) 47 - 57, June 2018. https://doi.org/10.32513/tbilisi/1529460021

Information

Received: 7 August 2017; Accepted: 25 January 2018; Published: June 2018
First available in Project Euclid: 20 June 2018

zbMATH: 07172263
MathSciNet: MR3954182
Digital Object Identifier: 10.32513/tbilisi/1529460021

Subjects:
Primary: 18B99
Secondary: 18D05 , 18D35 , 20L99

Keywords: 2-category , 2-groupoid , crossed module of groupoids , crossed semimodule of categories , Schreier 2-category , skew polynomial rings

Rights: Copyright © 2018 Tbilisi Centre for Mathematical Sciences

Vol.11 • No. 2 • June 2018
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