Congruence on Clifford Semigroup of left Quotient

Edem E. David

doi:https://doi.org/10.14445/22315373/IJMTT-V22P511

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 22 | Number 2 | Year 2015 | Article Id. IJMTT-V22P511 | DOI : https://doi.org/10.14445/22315373/IJMTT-V22P511

Congruence on Clifford Semigroup of left Quotient

Edem E. David

Abstract

For a Clifford Semigroup Q of left quotients of its subsemigroup S, the paper investigates congruences on Q and concludes that its congruence is determined by the subsemigroup S. In particular, there is always a left reversible congruence on Q in addition to other congruences. AMS Classification No: 20H10

Keywords

Congruence, Left Order, Green’s Relation.

References

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[2] V.A.R. Gould, Clifford Semigroups of left quotient; Glasgow Math. J. 28 (1986) 181-191.
[3] J.M. Howie, An introduction to semigroup theory; Academic Press, New York, (1976).
[4] H.R.K. Iyenger; Semilattice of Bisimple inverse semigroups, Quart. J. Math. Oxford (2), 23 (1972), 299 – 318.
[5] W.D. Munn and N R. Reilly, Congruencies on a Bisimple ω-semigroup; Proc. Glasgow Math. Assoc. 7 (1966) 184 – 192.
[6] K.E. Osondu; Semilattices of left reversible semigroups, Semigroup Forum Vol. 17 (1979) 139 – 152.
[7] H.J. Weinert; On S-sets and semigroups of quotients, semigroup Forum 19 (1980) 1 – 78.

Citation :

Edem E. David, "Congruence on Clifford Semigroup of left Quotient," International Journal of Mathematics Trends and Technology (IJMTT), vol. 22, no. 2, pp. 68-74, 2015. Crossref, https://doi.org/10.14445/22315373/IJMTT-V22P511