An Element ϕ-δ-Primary to another Element in Multiplicative Lattices

2021/02/19 by Bingi, A. V.
#06B99 #FOS: Mathematics #Rings and Algebras (math.RA)

paper · doi:10.48550/arxiv.2102.10149

Abstract

In this paper, we introduce an element ϕ-δ-primary to another element in a compactly generated multiplicative lattice L and obtain its characterizations. We prove many of its properties and investigate the relations between these structures. By a counter example, it is shown that if an element b∈ L is ϕ-δ-primary to a proper element p∈ L then b need not be δ-primary to p and found conditions under which an element b∈ L is δ-primary to a proper element p∈ L if b is ϕ-δ-primary to p.

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