Pseudo-irreducible elements in multiplicative lattices

Document Type : Original Paper

Authors

1 Department of Pure Mathematics Shahid Bahonar University of Kerman , Kerman, Iran

2 Department of Pure Mathematics, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman, Kerman, Iran

Abstract

In this paper, we define the concept of pseudo-irreducible elements in multiplicative lattices and examine its relationship with other important concepts of multiplicative lattices such as prime elements, primary elements, and maximum elements, and then with the help of this concept, we define and analyze the complete comaximal factorization in multiplicative lattices. In particular, we characterize multiplicative lattices whose every element can be written as a product of pseudo-irreducible and pairwise comaximal elements.

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References

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Journal of Advanced Mathematical Modeling
Volume 13, Issue 3 - Serial Number 31
December 2023
Pages 376-386

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History

  • Receive Date: 20 July 2023
  • Revise Date: 24 September 2023
  • Accept Date: 20 November 2023

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