Displaying similar documents to “Nil-extensions of completely simple semirings”

Distributive lattices of t-k-Archimedean semirings

Tapas Kumar Mondal (2011)

Discussiones Mathematicae - General Algebra and Applications

Similarity:

A semiring S in 𝕊𝕃⁺ is a t-k-Archimedean semiring if for all a,b ∈ S, b ∈ √(Sa) ∩ √(aS). Here we introduce the t-k-Archimedean semirings and characterize the semirings which are distributive lattice (chain) of t-k-Archimedean semirings. A semiring S is a distributive lattice of t-k-Archimedean semirings if and only if √B is a k-ideal, and S is a chain of t-k-Archimedean semirings if and only if √B is a completely prime k-ideal, for every k-bi-ideal B of S.

Some remarks on partitioning semirings.

Ebrahimi Atani, Shahabaddin, Ebrahimi Atani, Reza (2010)

Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică

Similarity:

Bi-ideal-simple semirings

Václav Flaška, Tomáš Kepka, Jan Šaroch (2005)

Commentationes Mathematicae Universitatis Carolinae

Similarity:

Commutative congruence-simple semirings were studied in [2] and [7] (but see also [1], [3]--[6]). The non-commutative case almost (see [8]) escaped notice so far. Whatever, every congruence-simple semiring is bi-ideal-simple and the aim of this very short note is to collect several pieces of information on these semirings.

Some characterizations of 2-primal ideals of a Γ-semiring

Suhrid Dhara, Tapan Kumar Dutta (2014)

Discussiones Mathematicae - General Algebra and Applications

Similarity:

This paper is a continuation of our previous paper entitled "On 2-primal Γ-semirings". In this paper we have introduced the notion of 2-primal ideal in Γ-semiring and studied it.