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Direct summands of Goldie extending elements in modular lattices

Rupal Shroff (2022)

Mathematica Bohemica

In this paper some results on direct summands of Goldie extending elements are studied in a modular lattice. An element a of a lattice L with 0 is said to be a Goldie extending element if and only if for every b a there exists a direct summand c of a such that b c is essential in both b and c . Some characterizations of decomposition of a Goldie extending element in a modular lattice are obtained.

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