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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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On normal radicals

TL;DR: This paper introduces the notions like Morita context, Normal radicals, Strong radicals and Hypernilpotent radicals and characterize the same and proves some useful results on primitive semirings.
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Correspondence Between Fuzzy h-Ideals of a G-Hemiring and Fuzzy h-Ideals of its Operator Hemirings ABSTRACT | FULL TEXT

TL;DR: Correspondence Between Fuzzy h-Ideals of a G-Hemiring and fuzzy h-values of its Operator Hemirings is found in this article, where the author discusses the relationship between fuzzy h -Ideals and g-h-values.
Journal ArticleDOI

On $ n $-ary ring congruences of $ n $-ary semirings

TL;DR: In this paper , the notion of a full k-ideal of an algebraic semiring was studied and connections between an $ h $ -ideal and a $ k $ -ideal of an $ n $-ary semiring were investigated.
Journal ArticleDOI

Characterizations of Hemirings by (∈,∈ ∨qk)∗-Intuitionistic Fuzzy k-Ideals

TL;DR: This paper defined the concept of (∈, ∈ ∨qk)-intuitionistic fuzzy h-ideals, and characterized h-hemiregular and h-intra-hemitegular hemiring by the properties of these.