논문KCI 등재
On Isomorphism Theorems and Chinese Remainder Theorem in Hypernear Rings
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The purpose of this paper is to consider the abstract theory of hypernear rings. In this regard, we derive the isomorphism theorems for hypernear rings as well as Chinese Remainder theorem. Our results can be considered as a generalization for the cases of Krasner hyperrings, near rings, and rings.
Abstract
The purpose of this paper is to consider the abstract theory of hypernear rings. In this regard, we derive the isomorphism theorems for hypernear rings as well as Chinese Remainder theorem. Our results can be considered as a generalization for the cases of Krasner hyperrings, near rings, and rings.
참고문헌 (10)
- J. Clay, "Near-rings: Geneses and Applications" (1992)
- Stephen D Comer, "Polygroups derived from cogroups", Journal of Algebra, 89(2), pp.397~405 (1984), Elsevier BV[DOI]
- B. Davvaz, "Polygroup Theory and Related Systems", pp.8~ (2013), World Scienti¯c Publishing Co. Pte. Ltd
- B. Davvaz, "A Realization of Hyperrings", Communications in Algebra, 34(12), pp.4389~4400 (2006), Informa UK Limited[DOI]
- V. Dasic, "Hypernear-rings", Proc. Fourth Int. Congress on Algebraic Hyperstructures and Applications (AHA 1990), pp.75~85 (1991), Word Scientific
- L. Dickson, "Definitions of a group and a field by independent postulates", Trans. Amer. Math. Soc, 6, pp.198~204 (1905)[DOI]
- G. Ferrero, "Nearrings. Some Developments Linked to Semigroups and Groups" (2002), Kluwer
- V.M. Gontineac, "On hypernear-rings and H-hypergroups", Proc. Fifth Int. Congress on Algebraic Hyperstructures and Applications (AHA 1993), pp.171~179 (1994), Hadronic Press, Inc
- Marc Krasner, "A class of hyperrings and hyperfields", International Journal of Mathematics and Mathematical Sciences, 6(2), pp.307~311 (1983), Hindawi Limited[DOI]
- F. Marty, "Sur une generalization de la notion de group", 8th Congress Math. Scan-denaves, pp.45~49 (1934)
관련 논문AI추천
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