Hv-Field of Fractions and Hv-Quotient Rings
2021 ◽
Vol 27
(1)
◽
pp. 75-89
A larger class of algebraic hyperstructures satisfying the ring (field)-likeaxioms is the class of Hv-rings (Hv-fields). In this paper, we define the Hv-integraldomain and introduce the Hv-field of fractions of an Hv-integral domain. Also, theHv-quotient ring and some relative theorems are presented. Finally, some interestingresults about the Hv-rings of fractions, Hv-quotient rings and the relations betweenthem are proved.
1972 ◽
Vol 24
(5)
◽
pp. 983-988
◽
2016 ◽
Vol 15
(08)
◽
pp. 1650149
◽
Keyword(s):
1971 ◽
Vol 14
(4)
◽
pp. 517-529
◽
Keyword(s):
1977 ◽
Vol 24
(3)
◽
pp. 339-349
◽
Keyword(s):
1977 ◽
Vol 29
(5)
◽
pp. 914-927
◽
Keyword(s):
2016 ◽
Vol 95
(1)
◽
pp. 14-21
◽
1971 ◽
Vol 23
(2)
◽
pp. 345-354
◽
Keyword(s):