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On the Jacobson radical of a semiring

Kenzo Iizuka
- 01 Jan 1959 - 
- Vol. 11, Iss: 3, pp 409-421
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This article is published in Tohoku Mathematical Journal.The article was published on 1959-01-01 and is currently open access. It has received 91 citations till now. The article focuses on the topics: Jacobson radical & Semiring.

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Singular Ideals of Ternary Semirings

TL;DR: In this article, the notion of singular ideal in a ternary semiring is introduced, and some properties of singular ideals are given, which can be used to study some radical classes related to singular ideals.
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On Radicals of Semirings and Related Problems

TL;DR: In this article, the authors developed an external Kurosh-Amitsur radical theory of semirings and, using this approach, obtained some fundamental results regarding two Jacobson type of radicals, the Jacobson-Bourne, J-, radical and a very natural its variation, J_{s}-radical, as well as the Brown-McCoy, R_{BM}-, radical of hemirings.
Journal ArticleDOI

BIFUZZY LEFT h-IDEALS OF HEMIRINGS WITH INTERVAL-VALUED MEMBERSHIP FUNCTION

TL;DR: In this article, the authors apply the concept of interval-valued bifuzzy sets to hemirings and establish characterizations of Artinian and Noetherian heimings.

Equivalence Relations Induced by Interval Valued (S, T)-fuzzy h-ideals (k-ideals) of Semirings

H. Hedayati
TL;DR: Some equivalence relations induced by interval valued intutionistic (S,T)-fuzzy left h-ideal (k-ideals) of a hemiring (semiring) are constructed.
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Some properties on intuitionistic Q -fuzzy k -idealsand k – Q -fuzzy ideals in $$\Gamma $$ Γ -semirings

TL;DR: This study has the explained the intuitionistic Q-fuzzy k-ideals and intuitionistic k-Q- fuzzy ideals under homomorphism and established some results on these.