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