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- Title
Direct Limit of Krasner (m, n)-Hyperrings.
- Authors
Asadi, A.; Ameri, R.
- 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.
- Subjects
MATHEMATICAL equivalence; QUOTIENT rings; LIMITS (Mathematics); MATHEMATICAL analysis; MATHEMATICAL models
- Publication
Journal of Sciences, Islamic Republic of Iran, 2020, Vol 31, Issue 1, p75
- ISSN
1016-1104
- Publication type
Article