On minimal spectrum of multiplication lattice modules
Mathematica Bohemica, Tome 144 (2019) no. 1, pp. 85-97
Cet article a éte moissonné depuis la source Czech Digital Mathematics Library
We study the minimal prime elements of multiplication lattice module $M$ over a $C$-lattice $L$. Moreover, we topologize the spectrum $\pi (M)$ of minimal prime elements of $M$ and study several properties of it. The compactness of $\pi (M)$ is characterized in several ways. Also, we investigate the interplay between the topological properties of $\pi (M)$ and algebraic properties of $M$.
We study the minimal prime elements of multiplication lattice module $M$ over a $C$-lattice $L$. Moreover, we topologize the spectrum $\pi (M)$ of minimal prime elements of $M$ and study several properties of it. The compactness of $\pi (M)$ is characterized in several ways. Also, we investigate the interplay between the topological properties of $\pi (M)$ and algebraic properties of $M$.
DOI :
10.21136/MB.2018.0094-17
Classification :
06D10, 06E10, 06E99, 06F99
Keywords: prime element; mimimal prime element; Zariski topology
Keywords: prime element; mimimal prime element; Zariski topology
@article{10_21136_MB_2018_0094_17,
author = {Ballal, Sachin and Kharat, Vilas},
title = {On minimal spectrum of multiplication lattice modules},
journal = {Mathematica Bohemica},
pages = {85--97},
year = {2019},
volume = {144},
number = {1},
doi = {10.21136/MB.2018.0094-17},
mrnumber = {3934199},
zbl = {07088837},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.21136/MB.2018.0094-17/}
}
TY - JOUR AU - Ballal, Sachin AU - Kharat, Vilas TI - On minimal spectrum of multiplication lattice modules JO - Mathematica Bohemica PY - 2019 SP - 85 EP - 97 VL - 144 IS - 1 UR - http://geodesic.mathdoc.fr/articles/10.21136/MB.2018.0094-17/ DO - 10.21136/MB.2018.0094-17 LA - en ID - 10_21136_MB_2018_0094_17 ER -
Ballal, Sachin; Kharat, Vilas. On minimal spectrum of multiplication lattice modules. Mathematica Bohemica, Tome 144 (2019) no. 1, pp. 85-97. doi: 10.21136/MB.2018.0094-17
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