Direct Limit of Krasner (m, n)-Hyperrings

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ASADI A.; AMERI R.

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Journal: Journal of Sciences, Islamic Republic of Iran Year:2020 | Volume:31 | Issue:1 Page(s): 75-83

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Information Journal Paper

Title

Direct Limit of Krasner (m, n)-Hyperrings

Author(s)

ASADI A. | AMERI R. | Issue Writer Certificate

Keywords

Krasner (mQ1

n)-hyperringsQ1

Direct systemQ1

Fundamental functorQ1

Direct limitQ1

Abstract

The purpose of this paper is the study of direct limits in category of Krasner (m, n)-hyperrings. In this regards we introduce and study direct limit of a direct system in category (m, n)-hyperrings. Also, we consider fundamental relation * Γ , as the smallest equivalence relation on an (m, n)-hyperring R such that the quotient space * /R Γ is an (m, n)-ring, to introduce the fundamental functor from category of Krasner (m, n)hyperrings to the category of (m, n)-rings. Finally, we study the relationship between fundamental functor and direct limit on Krasner (m, n)-hyperrings. In particular, we prove that the fundamental functor is exact and obtain some its basic properties.

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APA: Copy

ASADI, A., & AMERI, R.. (2020). Direct Limit of Krasner (m, n)-Hyperrings. JOURNAL OF SCIENCES ISLAMIC REPUBLIC OF IRAN, 31(1 ), 75-83. SID. https://sid.ir/paper/368885/en

Vancouver: Copy

ASADI A., AMERI R.. Direct Limit of Krasner (m, n)-Hyperrings. JOURNAL OF SCIENCES ISLAMIC REPUBLIC OF IRAN[Internet]. 2020;31(1 ):75-83. Available from: https://sid.ir/paper/368885/en

IEEE: Copy

A. ASADI, and R. AMERI, “Direct Limit of Krasner (m, n)-Hyperrings,” JOURNAL OF SCIENCES ISLAMIC REPUBLIC OF IRAN, vol. 31, no. 1 , pp. 75–83, 2020, [Online]. Available: https://sid.ir/paper/368885/en

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