Fundamental relation onm-idempotent hyperrings

• Autorzy: Morteza Norouzi , Irina Cristea
• Języki publikacji: EN

Abstrakty

EN

The γ*-relation defined on a general hyperring R is the smallest strongly regular relation such that the quotient R/γ* is a ring. In this note we consider a particular class of hyperrings, where we define a new equivalence, called [...] εm∗ $\varepsilon^{*}_{m} $, smaller than γ* and we prove it is the smallest strongly regular relation on such hyperrings such that the quotient R/ [...] εm∗ $\varepsilon^{*}_{m} $ is a ring. Moreover, we introduce the concept of m-idempotent hyperrings, show that they are a characterization for Krasner hyperfields, and that [...] εm∗ $\varepsilon^{*}_{m} $ is a new exhibition for γ* on the above mentioned subclass of m-idempotent hyperrings.

Słowa kluczowe

EN

Hyperring; m-idempotent; Strongly regular relation

Kategorie tematyczne

• 16Y99: None of the above, but in this section
• 20N20: Hypergroups

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2017
• Tom: 15
• Numer: 1
• Strony: 1558-1567

Daty

wydano

2017-01-01

otrzymano

2017-09-18

zaakceptowano

2017-10-18

online

2017-12-29

Twórcy

autor

Morteza Norouzi

• , , , ,

autor

Irina Cristea

• , , ,

Identyfikatory

DOI

10.1515/math-2017-0128