A new approach to smallness in hypermodules

نویسندگان
Moniri Hamzekolaee, Ali Reza ID 1
Norouzi, Morteza ID 2
Leoreanu-Fotea, Violeta ID 3

1 Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, Iran.

2 Department of Mathematics, Faculty of Basic Sciences, University of Bojnord, Bojnord, Iran

3 Faculty of Mathematics, University of Al.I. Cuza of Iasi, Iasi, Romania

doi
10.22034/as.2020.1962
چکیده

In this paper, we extend the concept of small subhypermodules to all types of hypermodules and give nontrivial examples for this concept. As an application, we define and study lifting hypermodules via small subhypermodules.

کلیدواژه‌ها
direct summand, lifting hypermodule, small subhypermodule