TY  - JOUR
TI  - Some notes on crossed semimodules
AB  - 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 category
Mon of monoids and prove the natural equivalence between their categories. Then, we prove that liftings of a certain
crossed semimodule are naturally equivalent to the actions of Schreier internal category in Mon, where the Schreier
internal category corresponds to the crossed semimodule. Finally, we give a relation between crossed semimodules and
simplicial monoids.
AU  - Temel, Sedat
DO  - 10.3906/mat-2110-44
PY  - 2022
JO  - Turkish Journal of Mathematics
VL  - 46
IS  - 3
SN  - 1300-0098
SP  - 768
EP  - 784
DB  - TRDizin
UR  - http://search/yayin/detay/534947
ER  -