Limits in modified categories of interest

Emir, K.; Çetin, S.

Limits in modified categories of interest

Document Type : Research Paper

Authors

K. Emir ¹
S. Çetin ²

¹ Department of Mathematics and Computer Science‎, ‎Eskişehir Osmangazi University‎, ‎Turkey.

² Department of Mathematics‎, ‎Mehmet Akif Ersoy University‎, ‎Burdur‎, ‎Turkey.

Abstract

‎We firstly prove the completeness of the category of crossed modules in a modified category of interest‎. ‎Afterwards‎, ‎we define pullback crossed modules and pullback cat objects that are both obtained by pullback diagrams with extra structures on certain arrows‎. ‎These constructions unify many corresponding results for the cases of groups‎, ‎commutative algebras and can also be adapted to various algebraic structures‎.

Keywords

Main Subjects

18-XX Category theory; homological algebra

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