Right dc-Noetherian $S$-posets

Shahbaz, Leila

doi:10.22103/jmmr.2026.26326.1904

Right dc-Noetherian $S$-posets

Document Type : Research Paper

Author

Leila shahbaz

Department of Mathematics, University of Maragheh, P.O.Box 55181-83111, Maragheh, Iran

10.22103/jmmr.2026.26326.1904

Abstract

In the present paper, the right dc-Noetherianity for $S$-posets is defined and studied. Some fundamental properties of right dc-Noetherian $S$-posets are presented, and the relation of right dc-Noetherian $S$-posets with sub $S$-posets, factor $S$-posets, products, and coproducts are studied. Finally, the relations between right po-Noetherian $S$-posets, right dc-Noetherian $S$-posets and right Noetherian ordered pomonoids are investigated.

Keywords

S-poset

down closed sub S-poset

right dc-Noetherian

Subjects

Algebra

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