On the lattice of quasi-filters of left congruence on simple inverse semigroups.

Authors

  • R. Oliynyk Ivan Franko National University of Lviv, Lviv, Ukraine

Keywords:

Quasi-filters, inverse semigroups

Abstract

Throughout this paper S is always a multiplicative semigroup with 0 and 1. The terminologies
and definitions not given in this paper can be found in [1-5].

References

Kilp M., Knauer U., Mikhalev A. V. Monoids, Acts and Categories, Walter de Gruyter, Berlin, 2000. – 529

Luedeman J. K. Torsion theories and semigroup of quotients, Lecture Notes in Mathematics 998, Springer- Verlag, Berlin, New York, (1983), 350-373 pp.

Qiu D. Hereditary Torsion Theory of Pseudo-Regular-Systems, Semigroup Forum Vol. 66 (2003) 131-139 pp.

Wiegandt R. Radical and torsion theory for acts, Semigroup Forum 72 (2006), 312-328 pp.

Zang R. Z., Gao W. M., Xu F. Y. Torsion theories and quasi-filters of right congruences, Algebra Colloq. 1(3) (1994), 273-280 pp.

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