A topology on categorical algebras-Reference-Cited by-同舟云学术

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A topology on categorical algebras

Published:2022 Issue:20 Volume:36 Page:7067-7081
ISSN:0354-5180
Container-title:Filomat
language:en
Short-container-title:Filomat

Author:

Ulualan Erdal¹,Yılmaz Koray¹

Affiliation:

1. Department of Mathematics, Science and Arts Faculty, Kütahya Dumlupınar University, Kütahya, Turkey

Abstract

On categorical algebras, we define an idempotent filter as an analogous version of Gabriel?s. We also construct topologies on 2-crossed modules of algebras and categorical algebras.

Publisher

National Library of Serbia

Subject

General Mathematics

Reference25 articles.

1. Z. Arvasi, Crossed squares and 2-crossed modules of commutative algebras, Theory and Applications of Categories 3 (1997) 160-181.

2. Z. Arvasi, T. Porter, Higher dimensional peiffer elements in simplicial commutative algebras, Theory and Applications of Categories 3 (1997) 1-23.

3. Z. Arvasi, T. Porter, Freeness conditions for 2-crossed module of commutative algebras, Applied Categorical Structures 6 (1998) 455-477.

4. Z. Arvasi, E. Ulualan, Quadratic and 2-crossed modules of algebras, Algebra Colloquium 4 (2007) 669-686.

5. J.C. Baez, A.S. Crans, Higher dimensional algebra V:Lie 2-algebras, Bulletin of the American Mathematical Society 12 (2004) 492-528.

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