Pseudo-Primary, Classical Prime and Pseudo-Classical Primary Elements in Lattice Modules

2020/05/31 by A. V. Bingi, Bingi, A. V., C. S. Manjarekar +1
Mathematics · #06B23 #06B99 #FOS: Mathematics #Rings and Algebras (math.RA) #Rings, Modules, and Algebras

paper · pdf · doi:10.48550/arxiv.2006.01663

openalex publication_date 2020/05/31 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we introduce the notion of pseudo-primary elements and pseudo-classical primary elements in an L-module M and obtain their characterizations. The aim of the paper is to show rad(N)∈ M, the radical of N∈ M is prime if N is either pseudo-primary or pseudo-classical primary. Also, we study classical prime elements of an L-module M to obtain many of its characterizations and its properties.

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