Weak Embeddable Hypernear-Rings
AbstractIn this paper we extend one of the main problems of near-rings to the framework of algebraic hypercompositional structures. This problem states that every near-ring is isomorphic with a near-ring of the transformations of a group. First we endow the set of all multitransformations of a hypergroup (not necessarily abelian) with a general hypernear-ring structure, called the multitransformation general hypernear-ring associated with a hypergroup. Then we show that any hypernear-ring can be weakly embedded into a multitransformation general hypernear-ring, generalizing the similar classical theorem on near-rings. Several properties of hypernear-rings related with this property are discussed and illustrated also by examples. View Full-Text
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Dakić, J.; Jančić-Rašović, S.; Cristea, I. Weak Embeddable Hypernear-Rings. Symmetry 2019, 11, 964.
Dakić J, Jančić-Rašović S, Cristea I. Weak Embeddable Hypernear-Rings. Symmetry. 2019; 11(8):964.Chicago/Turabian Style
Dakić, Jelena; Jančić-Rašović, Sanja; Cristea, Irina. 2019. "Weak Embeddable Hypernear-Rings." Symmetry 11, no. 8: 964.
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