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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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Journal ArticleDOI

On the Jacobson Radical of an -Semiring

TL;DR: The notion of -ary semimodules was introduced in this article to study the Jacobson radical of an -semiring, and some well-known results concerning Jacobson radicals of a ring (a semiring or a ternary semiring) are generalized to an -Semiring.

On fuzzy h-ideals in h-regular -hemiring and h-duo -hemiring

S. K. Sardar, +1 more
TL;DR: Semiring is a universal algebra which is a generalization of an as-sociative ring (R,+, +) as discussed by the authors, and it has been found very useful for solving problems in different areas of applied mathematics and information sciences.
Journal ArticleDOI

Maximal k-ideals and r-ideals in semirings

TL;DR: In this article, it was shown that a proper k-ideal of a semiring with an identity is prime if and only if the corresponding congruence class semiring is the Boolean semiring.
Journal ArticleDOI

Some Remarks on the Jacobson Radical Types of Semirings and Related Problems

TL;DR: In this article, a semiring version of Snapper's Theorem is given for polynomial semirings over zerosum-free commutative semiirings.