Keyword: Minimal Ideals : Search

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Search name	Searched On	Run search
Keyword: Π Bonding (1)	2 Apr 2025	Run
Keyword: Short Interest (2)	2 Apr 2025	Run
Keyword: Minimal Ideals (2)	2 Apr 2025	Run
Keyword: Color Features (3)	2 Apr 2025	Run
Keyword: Complex Oxides (3)	2 Apr 2025	Run

articleNo Access
Characterization of prime ideals, filters in ABAs
- U. M. Swamy,
- R. Chudamani, and
- K. Krishna Rao
Asian-European Journal of Mathematics25 Apr 2019
Preview Abstract
In this paper, we discuss several properties of ideals, filters, annihilators and maximisors in a general Almost Distributive Lattices (ADLs) and in particular, Almost Boolean Algebras (ABAs). Also, we characterize extreme ideals and filters. Further, several equivalent conditions are obtained in terms of ideals and filters for an ADL to become an ABA.
articleNo Access
ZERO-DIVISOR GRAPH OF AN IDEAL OF A NEAR-RING
- T. TAMIZH CHELVAM and
- S. NITHYA
Discrete Mathematics, Algorithms and Applications01 Mar 2013
Preview Abstract
In this paper, we associate the graph Γ_I(N) to an ideal I of a near-ring N. We exhibit some properties and structure of Γ_I(N). For a commutative ring R, Beck conjectured that both chromatic number and clique number of the zero-divisor graph Γ(R) of R are equal. We prove that Beck's conjecture is true for Γ_I(N). Moreover, we characterize all right permutable near-rings N for which the graph Γ_I(N) is finitely colorable.

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