A STRONG REGULAR RELATION ON τ-SEMIHYPERRINGS

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DEHKORDI S.O.; DAVAZ B.

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Journal: Journal of Sciences, Islamic Republic of Iran Year:2011 | Volume:22 | Issue:3 Page(s): 257-266

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Information Journal Paper

Title

A STRONG REGULAR RELATION ON τ-SEMIHYPERRINGS

Author(s)

DEHKORDI S.O. | DAVAZ B. | Issue Writer Certificate

Keywords

τ-SEMIHYPERRINGQ2

τ-HYPERRINGQ2

STRONGLY REGULAR RELATIONQ2

FUNDAMENTAL SEMIRINGQ2

Abstract

The concept of algebraic hyperstructures introduced by Marty as a generalization of ordinary algebraic structures. In an ordinary algebraic structure, the composition of two elements is an element, while in an algebraic hyperstructure, the composition of two elements is a set. The concept of t-semihyperrings is a generalization of semirings, a generalization of semihyperrings and a generalization of tsemirings. In this paper, we introduce an equivalence relation g* on a t-semihyperrings R and we show that it is strongly regular. Furthermore, R/g*, the set of all equivalence classes of this relation is a t/b*-semiring. The relation g* is called the fundamental relation and the t-semiring R/g * is called the FUNDAMENTAL SEMIRING. Fundamental relations are the main tools in the study of t-semihyperrings. We present some results about fundamental relations and FUNDAMENTAL SEMIRINGs. Finally, we show that there is a covariant functor between the category of t-semihyperrings and the category of semirings.

Cites

M-ARY HYPERVECTOR SPACE: CONVERGENT SEQUENCE AND BUNDLE SUBSETS

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APA: Copy

DEHKORDI, S.O., & DAVAZ, B.. (2011). A STRONG REGULAR RELATION ON τ-SEMIHYPERRINGS. JOURNAL OF SCIENCES ISLAMIC REPUBLIC OF IRAN, 22(3), 257-266. SID. https://sid.ir/paper/84132/en

Vancouver: Copy

DEHKORDI S.O., DAVAZ B.. A STRONG REGULAR RELATION ON τ-SEMIHYPERRINGS. JOURNAL OF SCIENCES ISLAMIC REPUBLIC OF IRAN[Internet]. 2011;22(3):257-266. Available from: https://sid.ir/paper/84132/en

IEEE: Copy

S.O. DEHKORDI, and B. DAVAZ, “A STRONG REGULAR RELATION ON τ-SEMIHYPERRINGS,” JOURNAL OF SCIENCES ISLAMIC REPUBLIC OF IRAN, vol. 22, no. 3, pp. 257–266, 2011, [Online]. Available: https://sid.ir/paper/84132/en

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