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TOPOLOGICAL CROSSED SEMIMODULES AND SCHREIER INTERNAL CATEGORIES IN THE CATEGORY OF TOPOLOGICAL MONOIDS

Year 2016, Volume: 29 Issue: 4, 915 - 921, 19.12.2016

Abstract

The aim of this paper is to introduce the notion of Schreier internal
categories in the category of topological monoids and of topological crossed semimodules and to prove the categorical equivalence between them. This is the generalization of equivalence between the category of internal categories in the category of topological groups and the category of topological crossed modules. Moreover we obtained a Schreier internal category as a special sort of 2-category with one object in the category of topological monoids.

Year 2016, Volume: 29 Issue: 4, 915 - 921, 19.12.2016

Abstract

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Details

Journal Section Mathematics
Authors

Sedat Temel

Publication Date December 19, 2016
Published in Issue Year 2016 Volume: 29 Issue: 4

Cite

APA Temel, S. (2016). TOPOLOGICAL CROSSED SEMIMODULES AND SCHREIER INTERNAL CATEGORIES IN THE CATEGORY OF TOPOLOGICAL MONOIDS. Gazi University Journal of Science, 29(4), 915-921.
AMA Temel S. TOPOLOGICAL CROSSED SEMIMODULES AND SCHREIER INTERNAL CATEGORIES IN THE CATEGORY OF TOPOLOGICAL MONOIDS. Gazi University Journal of Science. December 2016;29(4):915-921.
Chicago Temel, Sedat. “TOPOLOGICAL CROSSED SEMIMODULES AND SCHREIER INTERNAL CATEGORIES IN THE CATEGORY OF TOPOLOGICAL MONOIDS”. Gazi University Journal of Science 29, no. 4 (December 2016): 915-21.
EndNote Temel S (December 1, 2016) TOPOLOGICAL CROSSED SEMIMODULES AND SCHREIER INTERNAL CATEGORIES IN THE CATEGORY OF TOPOLOGICAL MONOIDS. Gazi University Journal of Science 29 4 915–921.
IEEE S. Temel, “TOPOLOGICAL CROSSED SEMIMODULES AND SCHREIER INTERNAL CATEGORIES IN THE CATEGORY OF TOPOLOGICAL MONOIDS”, Gazi University Journal of Science, vol. 29, no. 4, pp. 915–921, 2016.
ISNAD Temel, Sedat. “TOPOLOGICAL CROSSED SEMIMODULES AND SCHREIER INTERNAL CATEGORIES IN THE CATEGORY OF TOPOLOGICAL MONOIDS”. Gazi University Journal of Science 29/4 (December 2016), 915-921.
JAMA Temel S. TOPOLOGICAL CROSSED SEMIMODULES AND SCHREIER INTERNAL CATEGORIES IN THE CATEGORY OF TOPOLOGICAL MONOIDS. Gazi University Journal of Science. 2016;29:915–921.
MLA Temel, Sedat. “TOPOLOGICAL CROSSED SEMIMODULES AND SCHREIER INTERNAL CATEGORIES IN THE CATEGORY OF TOPOLOGICAL MONOIDS”. Gazi University Journal of Science, vol. 29, no. 4, 2016, pp. 915-21.
Vancouver Temel S. TOPOLOGICAL CROSSED SEMIMODULES AND SCHREIER INTERNAL CATEGORIES IN THE CATEGORY OF TOPOLOGICAL MONOIDS. Gazi University Journal of Science. 2016;29(4):915-21.