Baer Elements in Lattice Modules

C. S. Manjarekar, Ujwala Narahari Kandale

Abstract

Let L be a compactly generated multiplicative lattice with 1 com-pact in which every finite product of compact elements is compactand M be a module over L. In this paper we generalize the conceptsof Baer elements,∗-elements and closed elements and obtain the rela-tion between ∗-elements and Baer elements and also closed elementsand Baer elements. Some characterization are also obtain for closedelements of M and minimal prime elements of M.

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