Direct summands of Goldie extending elements in modular lattices
Mathematica Bohemica (2022)
- Volume: 147, Issue: 3, page 359-368
- ISSN: 0862-7959
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topShroff, Rupal. "Direct summands of Goldie extending elements in modular lattices." Mathematica Bohemica 147.3 (2022): 359-368. <http://eudml.org/doc/298483>.
@article{Shroff2022,
abstract = {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 $b \le a$ there exists a direct summand $c$ of $a$ such that $b \wedge c$ is essential in both $b$ and $c$. Some characterizations of decomposition of a Goldie extending element in a modular lattice are obtained.},
author = {Shroff, Rupal},
journal = {Mathematica Bohemica},
keywords = {modular lattice; direct summand; Goldie extending element},
language = {eng},
number = {3},
pages = {359-368},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Direct summands of Goldie extending elements in modular lattices},
url = {http://eudml.org/doc/298483},
volume = {147},
year = {2022},
}
TY - JOUR
AU - Shroff, Rupal
TI - Direct summands of Goldie extending elements in modular lattices
JO - Mathematica Bohemica
PY - 2022
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 147
IS - 3
SP - 359
EP - 368
AB - 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 $b \le a$ there exists a direct summand $c$ of $a$ such that $b \wedge c$ is essential in both $b$ and $c$. Some characterizations of decomposition of a Goldie extending element in a modular lattice are obtained.
LA - eng
KW - modular lattice; direct summand; Goldie extending element
UR - http://eudml.org/doc/298483
ER -
References
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