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

A. V. Bingi; C. S. Manjarekar

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

Rings and Algebras 2020-06-03 v1

Authors: A. V. Bingi , C. S. Manjarekar

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 $rad(N)\in M$ , the radical of $N\in M$ 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.

Keywords

module theory lattice theory

Cite

@article{arxiv.2006.01663,
  title  = {Pseudo-Primary, Classical Prime and Pseudo-Classical Primary Elements in Lattice Modules},
  author = {A. V. Bingi and C. S. Manjarekar},
  journal= {arXiv preprint arXiv:2006.01663},
  year   = {2020}
}

Comments

one figure. arXiv admin note: text overlap with arXiv:2004.09229

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

Abstract

Keywords

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