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On Equivalence Relation in Factor Algebras | ||
| Journal of Education and Science | ||
| Article 12, Volume 26, Issue 4, 2013, Pages 107-111 PDF (228.99 K) | ||
| DOI: 10.33899/edusj.2013.89983 | ||
| Author | ||
| Yassin A. Salih* | ||
| Department of Operations Researchو College of Computers and Mathematics ٍscience, University of Mosul | ||
| Abstract | ||
| Abstract In this paper we introduce and study a relation “~” between projections, a relation “ ” on positive operators and a relation "~G" (G-group) on projections in extended factor algebras. The main results in this paper state that these relations are indeed an equivalence relation (Theorem 2.1) and (Theorem 2.2). Finally, we determine the relation between these concepts. | ||
| Keywords | ||
| Equivalence Relation; Factor Algebras; projections | ||
|
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