Direct summands of Goldie extending elements in modular lattices

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 $b \leq a$ there exists a direct summand $c$ of $a$ such that $b \wedge c$ is essent...

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Bibliographic Details
Main Author: Rupal Shroff
Format: Article
Language:English
Published: Institute of Mathematics of the Czech Academy of Science 2022-10-01
Series:Mathematica Bohemica
Subjects:
Online Access:http://mb.math.cas.cz/full/147/3/mb147_3_6.pdf

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