Geodesic
On minimal spectrum of multiplication lattice modules
Mathematica Bohemica, Tome 144 (2019) no. 1, pp. 85-97.

Voir la notice de l'article provenant de 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 $M$.
DOI : 10.21136/MB.2018.0094-17
Classification : 06D10, 06E10, 06E99, 06F99
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},
     publisher = {mathdoc},
     volume = {144},
     number = {1},
     year = {2019},
     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
PB  - mathdoc
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  - 
%0 Journal Article
%A Ballal, Sachin
%A Kharat, Vilas
%T On minimal spectrum of multiplication lattice modules
%J Mathematica Bohemica
%D 2019
%P 85-97
%V 144
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.21136/MB.2018.0094-17/
%R 10.21136/MB.2018.0094-17
%G en
%F 10_21136_MB_2018_0094_17
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. http://geodesic.mathdoc.fr/articles/10.21136/MB.2018.0094-17/

Cité par Sources :