Some Study of Semigroups of
h
-Bi-Ideals of Semirings
2021 ◽
Vol 2021
◽
pp. 1-9
Semigroups are generalizations of groups and rings. In the semigroup theory, there are certain kinds of band decompositions which are useful in the study of the structure of semigroups. This research will open up new horizons in the field of mathematics by aiming to use semigroup of h -bi-ideal of semiring with semilattice additive reduct. With the course of this research, it will prove that subsemigroup, the set of all right h -bi-ideals, and set of all left h -bi-ideals are bands for h -regular semiring. Moreover, it will be demonstrated that if semigroup of all h -bi-ideals B H , ∗ is semilattice, then H is h -Clifford. This research will also explore the classification of minimal h -bi-ideal.
2018 ◽
Vol 28
(05)
◽
pp. 837-875
◽
1996 ◽
Vol 28
(01)
◽
pp. 227-251
◽
Keyword(s):
1970 ◽
Vol 28
◽
pp. 220-221
1984 ◽
Vol 42
◽
pp. 98-101
1992 ◽
Vol 50
(1)
◽
pp. 126-127
1993 ◽
Vol 51
◽
pp. 248-249