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- Title
EXTENDED AND METRIC IDEALS OF A PSEUDO RING.
- Authors
Natei, Tadesse Nigisa; Kifetaw, Dawit Cherinet; Venkateswarlu, Kolluru
- Abstract
In this paper, we introduce the notions of an extended ideal, a metric ideal, and a stable ideal in a pseudo ring. We prove that every nonzero maximal ideal M is an extended ideal of some non-empty subset of a pseudo ring R. Also we prove the set of all metric ideals form a complete distributive lattice. Further, we obtain the relationship between extended and metric ideals.
- Subjects
IDEALS (Algebra); RING theory; DISTRIBUTIVE lattices; LATTICE theory; SUBSET selection
- Publication
Bulletin of International Mathematical Virtual Institute, 2023, Vol 13, Issue 3, p529
- ISSN
2303-4874
- Publication type
Article
- DOI
10.7251/BIMVI2303529N