Complete Semigroups of Binary Relations defined by X-semilattices of unions

被引：0

作者：

Diasamidze Y. ^{[1
]}

Makharadze S. ^{[1
]}

机构：

[1] Batumi State University, Batumi 6010, 35, Ninoshvili St.

来源：

Journal of Mathematical Sciences | 2010年 / 166卷 / 5期

关键词：

Binary Relation; Regular Semigroup; Regular Element; Commutative Semigroup; Semigroup Theory;

D O I：

10.1007/s10958-010-9877-1

中图分类号：

学科分类号：

摘要：

This paper is devoted to some results from the book "Complete Semigroups of Binary Relations," which is not published yet. Conditions of divisibility of binary relations, idempotents, regular elements, one-side units, and one-side zeros are described. Finite X-semilattices and unions are characterized. Methods of finding formulas for counting the number of idempotents and regular elements are given. © 2010 Springer Science+Business Media, Inc.

引用

页码：615 / 633

页数：18

共 10 条

[1]

Diasamidze Y.I., Complete Semigroups of Binary Relations, (2000)

[2]

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[3]

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[4]

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[6]

Diasamidze Y., Makharadze S., Complete semigroups of binary relations defined by elementary and nodal X-semilattices of unions, J. Math. Sci., 111, 1, pp. 3171-3226, (2002)

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Diasamidze Y., Makharadze S., Maximal subgroups of complete semigroups of binary relations, Proc. A. Razmadze Math. Inst., 131, pp. 21-38, (2003)

[8]

Diasamidze Y., Makharadze S., Fartenadze G., Givradze O., On finite semilattices of unions, J. Math. Sci., 141, 4, pp. 1134-1181, (2007)

[9]

Diasamidze Y., Sirabidze T., Complete semigroups of binary relations, defined by 3-elemented X-chains, J. Math. Sci., 117, 4, pp. 4320-4350, (2003)

[10]

Makharadze S.I., Diasamidze I.Y., On the classes of complete semigroups of binary relations, J. Math. Sci., 117, 4, pp. 4393-4424, (2003)

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