Yazar "Temel, Sedat" için listeleme
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Coverings, actions and quotients in cat1-groupoids
Temel, Sedat; Çan, Osman (Drustvo Matematicara Srbije, 2024)The aim of this paper is to present the notions of actions and coverings of cat1-groupoids and to prove the natural equivalence between their categories. Moreover, in this context, we characterize the quotient concept of ... -
Crossed semimodules and cat(1)-monoids
Temel, Sedat (Kangwon-Kyungki Mathematical Soc, 2019)The main idea of this paper is to introduce the notion of cat(1)-monoids and to prove that the category of crossed semimodules C = (A, B, partial derivative) where A is a group is equivalent to the category of cat(1)-monoids. ... -
Crossed semimodules of categories and schreier 2-categories
Temel, Sedat (Tbilisi Centre Math Sci, 2018)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. -
Further remarks on group-2-groupoids
Temel, Sedat (Unıversitat Polıtecnıca Valencıa, 2021)The aim of this paper is to obtain a group-2-groupoid as a 2-groupoid object in the category of groups and also as a special kind of an internal category in the category of group-groupoids. Corresponding group-2-groupoids, ... -
Group-2-groupoids and 2G-crossed modules
Alemdar, Nazmiye; Temel, Sedat (2019)In this paper, we introduce the notion of a group-2-groupoid as a group object in the category of 2-groupoids. We also obtain a 2G-crossed module by using the structure of a group-2-groupoid. Then we prove that the category ... -
Normality and quotient in crossed modules over groupoids and 2-groupoids
Temel, Sedat (Kangwon-Kyungki Mathematical Soc, 2019)The aim of this paper is to consider the categorical equivalence between crossed modules within groupoids and 2-groupoids; and then relate normality and quotient in these two categories. -
Some notes on crossed semimodules
Temel, Sedat (Scientific Technical Research Council Turkey, TÜBİTAK, 2022)In this paper, we introduce the notion of lifting via a homomorphism of monoids for a crossed semimodule and give some properties. Further, we characterize actions and coverings of Schreier internal categories in the ... -
Topological crossed semimodules and schreier internal categories in the category of topological monoids
Temel, Sedat (Gazi Univ, 2016)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 ...
