Finite inverse semigroups with permutable stable quasiorders

Authors

  • A. A. Barkovska Вінницький національний технічний університет
  • V. D. Derech Вінницький національний технічний університет

Keywords:

inverse semigroup, stable quasiorder, permutable semigroup

Abstract

Description of eventual inverse semigroups for which any two stable quasiorders are resettable to the relatively ordinary operation of composition of binary relations is suggested in the paper.

Author Biographies

A. A. Barkovska, Вінницький національний технічний університет

старший викладач кафедри вищої математики

V. D. Derech, Вінницький національний технічний університет

доцент кафедри вищої математики

References

1. Конторович П. Г. К теории полугрупп в группе / П. Г. Конторович // ДАН СССР. — 1953. — Т. 93, № 2. —
С. 229—231.
2. Petrich M. Inverse semigroup / M. Petrich. — New York etc. : John Willey and Sons, 1984, 674 p.
3. Tamura T. Commutative semigroups whose lattice of congruences is a chain / T. Tamura // Bull. Soc. Math. France. — 1969. — V. 97. — P. 369—380.
4. Hamilton H. Permutability of congruences on commutative semigroups / H. Hamilton // Semigroup Forum. — 1975. — № 10. — P. 55—66.
5. Биркгоф Г. Теория решеток / Г. Биркгоф. — М. : Наука, 1984. — 564 с.

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Published

2010-11-12

How to Cite

[1]
A. A. Barkovska and V. D. Derech, “Finite inverse semigroups with permutable stable quasiorders”, Вісник ВПІ, no. 5, pp. 141–144, Nov. 2010.

Issue

No 5 (2012)

Section

Fundamental sciences

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