Absolutely Extendable Property and Stable Elements in Γ-Semihyperrings

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OSTADHADI DEHKORDI S.; HEIDARI M.; DAVVAZ B.

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Paper Information

Journal: JOURNAL OF MATHEMATICAL EXTENSION Year:2018 | Volume:12 | Issue:1 Page(s): 91-112

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Title

Absolutely Extendable Property and Stable Elements in Γ-Semihyperrings

Author(s)

OSTADHADI DEHKORDI S. | HEIDARI M. | DAVVAZ B. | Issue Writer Certificate

Keywords

Γ-semihyperrings

absolutely extendable

stable elements

complex product

extension property

Abstract

The concept of Γ-semihyperrings is a generalization of a semiring, a generalization of a Γ-semiring, and a generalization of a semihyperering. In this paper, we define the notions of complex product, extension property and flat Γ-semihyperrings and some of their properties are obtained. In addition, we prove that every flat Γ-semihyperring is absolutely extendable. Finally, we give some characterization of stable elements.

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APA: Copy

OSTADHADI DEHKORDI, S., HEIDARI, M., & DAVVAZ, B.. (2018). Absolutely Extendable Property and Stable Elements in Γ-Semihyperrings. JOURNAL OF MATHEMATICAL EXTENSION, 12(1), 91-112. SID. https://sid.ir/paper/719589/en

Vancouver: Copy

OSTADHADI DEHKORDI S., HEIDARI M., DAVVAZ B.. Absolutely Extendable Property and Stable Elements in Γ-Semihyperrings. JOURNAL OF MATHEMATICAL EXTENSION[Internet]. 2018;12(1):91-112. Available from: https://sid.ir/paper/719589/en

IEEE: Copy

S. OSTADHADI DEHKORDI, M. HEIDARI, and B. DAVVAZ, “Absolutely Extendable Property and Stable Elements in Γ-Semihyperrings,” JOURNAL OF MATHEMATICAL EXTENSION, vol. 12, no. 1, pp. 91–112, 2018, [Online]. Available: https://sid.ir/paper/719589/en

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