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