Geodesic
Prime Ideals of Transitive BE-Algebras
Discussiones Mathematicae. General Algebra and Applications, Tome 42 (2022) no. 1, pp. 97-119 Cet article a éte moissonné depuis la source Library of Science

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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 
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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/

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