Limits in modified categories of interest

Document Type: Research Paper

Authors

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


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Volume 43, Issue 7
November and December 2017
Pages 2617-2634
  • Receive Date: 07 January 2017
  • Revise Date: 21 January 2018
  • Accept Date: 21 January 2018