On Equivalence Relation in Factor Algebras

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