Name
Abstract | ||
|---|---|---|
On a particular class of m-idempotent hyperrings, the relation xi(m)* is the smallest strongly regular equivalence such that the related quotient ring is commutative. Thus, on such hyperrings, xi(m)* is a new representation for the alpha*-relation. In this paper, the xi(m)-parts on hyperrings are defined and compared with complete parts, alpha-parts, and m-complete parts, as generalizations of complete parts in hyperrings. It is also shown how the xi(m)-parts help us to study the transitivity property of the xi(m)-relation. Finally, xi(m)-complete hyperrings are introduced and studied, stressing on the fact that they can be characterized by xi(m)-parts. The symmetry plays a fundamental role in this study, since the protagonist is an equivalence relation, defined using also the symmetrical group of permutations of order n. |
Year | DOI | Venue |
|---|---|---|
2020 | 10.3390/sym12040554 | SYMMETRY-BASEL |
Keywords | DocType | Volume |
hyperring,m-idempotent hyperring,xi(m)-parts,xi(m)-complete hyperrings | Journal | 12 |
Issue | Citations | PageRank |
4 | 0 | 0.34 |
References | Authors | |
0 | 3 | |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Azam Adineh Zadeh | 1 | 0 | 0.34 |
| Morteza Norouzi | 2 | 0 | 1.01 |
| Irina Cristea | 3 | 73 | 12.15 |