1. A NEW CHARACTERIZATION OF ABSOLUTELY PO-PURE AND ABSOLUTELY PURE S-POSETS

R. Khosravi; M. Roueentan

Volume 8, Issue 1 , Summer and Autumn 2020, , Pages 27-37

Abstract
  In this paper, we investigate po-purity using finitely presented S-posets, and give some equivalent conditions under which an S-poset is absolutely po-pure. We also introduce strongly finitely presented S-posets to characterize absolutely pure S-posets. Similar to the acts, every finitely presented ...  Read More

2. REES SHORT EXACT SEQUENCES OF S-POSETS

R. Khosravi

Volume 4, Issue 2 , Winter and Spring 2017, , Pages 123-134

Abstract
  In this paper the notion of Rees short exact sequence for S-posets is introduced, and we investigate the conditions for which these sequences are left or right split. Unlike the case for S-acts, being right split does not imply left split. Furthermore, we present equivalent conditions of a right S-poset ...  Read More