Publication details
LIMITS IN MODIFIED CATEGORIES OF INTEREST
| Authors | |
|---|---|
| Year of publication | 2017 |
| Type | Article in Periodical |
| Magazine / Source | BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY |
| Citation | |
| Keywords | Modified category of interest; crossed module; cat(1)-object; limit |
| Description | We prove completeness of the category of crossed modules in a modified category of interest. We define pullback crossed modules and pullback cat(1)-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. |