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Research Article Open access CC BY 4.0

Elements Weakly Prime and Weakly Primary to Another Element

C. S. Manjarekar, A. N. Chavan

Journal of Advances in Mathematics and Computer Science · pp. 1–8 · Published 7 Jul 2016

10.9734/BJMCS/2016/24931

Abstract

Let L be a compactly generated multiplicative lattice with 1 compact in which every finite product of compact elements is compact and M be a module over L. In this paper we generalize the concepts of an element prime to another element and an element primary to another element in a lattice module M and obtain the characterizations of an element prime to another element and an element primary to another element in a lattice module.

Prime element primary element Lattice modules

References (5)

  1. 1 Multiplication lattice modules [DOI]
  2. 2 Some results on abstract commutative ideal theory [DOI]
  3. 3 Residuation Properties and Weakly Primary Elements in Lattice Modules [DOI]
  4. 4 An element prime to and primary to another element in lattice modules [DOI]
  5. 5 Abstract commutative ideal theory without chain condition [DOI]

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