Goldie extending elements in modular lattices

The concept of a Goldie extending module is generalized to a Goldie extending element in a 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 essential in bo...

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Bibliographic Details
Main Authors: Shriram K. Nimbhorkar, Rupal C. Shroff
Format: Article
Language:English
Published: Institute of Mathematics of the Czech Academy of Science 2017-07-01
Series:Mathematica Bohemica
Subjects:
Online Access:http://mb.math.cas.cz/full/142/2/mb142_2_5.pdf