Geodesic
Prime Ideals of Transitive BE-Algebras
Discussiones Mathematicae. General Algebra and Applications, Tome 42 (2022) no. 1, pp. 97-119

Voir la notice de l'article provenant de la source Library of Science

The notion of prime ideals is introduced in transitive BE-algebras. Prime ideals are characterized with the help of principal ideals. Prime ideal theorem is stated and derived for BE-algebras. The concept of minimal prime ideals is introduced in transitive BE-algebras. A decomposition theorem of proper ideals into minimal prime ideals is derived.
Keywords: transitive BE -algebra, ideal, maximal ideal, prime ideal 
@article{DMGAA_2022_42_1_a4,
     author = {Prabhakar, M. Bala and Vali, S. Kalesha and Rao, M. Sambasiva},
     title = {Prime {Ideals} of {Transitive} {\protect\emph{BE}-Algebras}},
     journal = {Discussiones Mathematicae. General Algebra and Applications},
     pages = {97--119},
     publisher = {mathdoc},
     volume = {42},
     number = {1},
     year = {2022},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/DMGAA_2022_42_1_a4/}
}
TY  - JOUR
AU  - Prabhakar, M. Bala
AU  - Vali, S. Kalesha
AU  - Rao, M. Sambasiva
TI  - Prime Ideals of Transitive BE-Algebras
JO  - Discussiones Mathematicae. General Algebra and Applications
PY  - 2022
SP  - 97
EP  - 119
VL  - 42
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/DMGAA_2022_42_1_a4/
LA  - en
ID  - DMGAA_2022_42_1_a4
ER  - 
%0 Journal Article
%A Prabhakar, M. Bala
%A Vali, S. Kalesha
%A Rao, M. Sambasiva
%T Prime Ideals of Transitive BE-Algebras
%J Discussiones Mathematicae. General Algebra and Applications
%D 2022
%P 97-119
%V 42
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/DMGAA_2022_42_1_a4/
%G en
%F DMGAA_2022_42_1_a4
Prabhakar, M. Bala; Vali, S. Kalesha; Rao, M. Sambasiva. Prime Ideals of Transitive BE-Algebras. Discussiones Mathematicae. General Algebra and Applications, Tome 42 (2022) no. 1, pp. 97-119. http://geodesic.mathdoc.fr/item/DMGAA_2022_42_1_a4/