Geodesic
Median prime ideals of pseudo-complemented distributive lattices
Archivum mathematicum, Tome 58 (2022) no. 4, pp. 213-226

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

Coherent ideals, strongly coherent ideals, and $\tau $-closed ideals are introduced in pseudo-complemented distributive lattices and their characterization theorems are derived. A set of equivalent conditions is derived for every ideal of a pseudo-complemented distributive lattice to become a coherent ideal. The notion of median prime ideals is introduced and some equivalent conditions are derived for every maximal ideal of a pseudo-complemented distributive lattice to become a median prime ideal which leads to a characterization of Boolean algebras.
DOI : 10.5817/AM2022-4-213
Classification : 06D99
Keywords: coherent ideal; strongly coherent ideal; median prime ideal; maximal ideal; Stone lattice; Boolean algebra 
@article{10_5817_AM2022_4_213,
     author = {Sambasiva Rao, M.},
     title = {Median prime ideals of pseudo-complemented distributive lattices},
     journal = {Archivum mathematicum},
     pages = {213--226},
     publisher = {mathdoc},
     volume = {58},
     number = {4},
     year = {2022},
     doi = {10.5817/AM2022-4-213},
     mrnumber = {4529814},
     zbl = {07655744},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.5817/AM2022-4-213/}
}
TY  - JOUR
AU  - Sambasiva Rao, M.
TI  - Median prime ideals of pseudo-complemented distributive lattices
JO  - Archivum mathematicum
PY  - 2022
SP  - 213
EP  - 226
VL  - 58
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.5817/AM2022-4-213/
DO  - 10.5817/AM2022-4-213
LA  - en
ID  - 10_5817_AM2022_4_213
ER  - 
%0 Journal Article
%A Sambasiva Rao, M.
%T Median prime ideals of pseudo-complemented distributive lattices
%J Archivum mathematicum
%D 2022
%P 213-226
%V 58
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.5817/AM2022-4-213/
%R 10.5817/AM2022-4-213
%G en
%F 10_5817_AM2022_4_213
Sambasiva Rao, M. Median prime ideals of pseudo-complemented distributive lattices. Archivum mathematicum, Tome 58 (2022) no. 4, pp. 213-226. doi: 10.5817/AM2022-4-213

Cité par Sources :