Bibliographic Details
| Title: |
\(H_v\)-ring of fractions |
| Authors: |
Darafsheh, M. R., Davvaz, B. |
| Publisher Information: |
Forum Editrice Universitaria Udinese Srl, Udine |
| Subject Terms: |
strong homomorphisms, strong multiplicatively closed subsets, hyperstructures, hyperrings, fundamental structures, Generalizations, commutative hyperrings, Hypergroups, \(H_v\)-rings, \(H_v\)-rings of fractions |
| Description: |
The paper deals with a special class of algebraic structures, more general than the hyperstructures, called \(H_v\)-structures. The notions of hyperring and \(H_v\)-ring are used. More precisely, the definition of strong multiplicatively closed subset \(S\) of a commutative hyperring \((R,+,\cdot)\), is introduced. Therefore, given a commutative hyperring \(R\) with a scalar unit, the \(H_v\)-ring of fractions \((S^{-1}R,\oplus,\otimes)\) is defined. Some results concerning this \(H_v\)-ring \(S^{-1}R\) using strong homomorphisms and \(H_v\)-ideals are proved. These results are transferred to the corresponding fundamental structures. |
| Document Type: |
Article |
| File Description: |
application/xml |
| Access URL: |
https://zbmath.org/1418057 |
| Accession Number: |
edsair.c2b0b933574d..a0c4d43e9e9c3c347f480dcc5d944d49 |
| Database: |
OpenAIRE |