TY - JOUR ID - 1222 TI - Limits in modified categories of interest JO - Bulletin of the Iranian Mathematical Society JA - BIMS LA - en SN - 1017-060X AU - Emir, K. AU - Çetin, S. AD - Department of Mathematics and Computer Science‎, ‎Eskişehir Osmangazi University‎, ‎Turkey. AD - Department of Mathematics‎, ‎Mehmet Akif Ersoy University‎, ‎Burdur‎, ‎Turkey. Y1 - 2017 PY - 2017 VL - 43 IS - 7 SP - 2617 EP - 2634 KW - Modified category of interest‎ KW - ‎crossed module‎ KW - ‎cat object‎ KW - ‎limit‎ DO - N2 - ‎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. UR - http://bims.iranjournals.ir/article_1222.html L1 - http://bims.iranjournals.ir/article_1222_e14591523a7f710c9325a6fd421f7fec.pdf ER -