Primary Decomposition in Lattice Modules

C. S. Manjarekar, Ujwala Narahari Kandale

Abstract

In this paper, we study primary decomposition of elements in latticemodules.A necessary and sufficient condition for a prime element p ofa multiplicative lattice L to be equal to some associated prime of anelement in a lattice module having primary decomposition is obtained.

Keywords

Prime element,primary element,lattice modules,primary de- composition

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