Title of article :
On lifting acts over monoids
Author/Authors :
Tahmasebi Ashtiani ، B. Department of Mathematics - Islamic Azad University, Science and Research Branch , Rasouli ، H. Department of Mathematics - Islamic Azad University, Science and Research Branch , Tehranian ، A. Department of Mathematics - Islamic Azad University, Science and Research Branch , Barzegar ، H. Department of Mathematics - Tafresh University
Abstract :
Let A be an S-act where S is a monoid. Then A is called lifting if every proper subact L of A lies over a direct summand, that is, L contains a direct summand K of A such that K ⊂ L is co-small in A. In this paper, characterizations of lifting S-acts and co-closed subacts are presented. We show that the class of supplemented acts are strictly larger than that of lifting ones.
Keywords :
S , act , supplement , supplemented , lifting , co , closed
Journal title :
Journal of Linear and Topological Algebra
Journal title :
Journal of Linear and Topological Algebra
