Generated Sets of the Complete Semigroup Binary Relations Defined by Semilattices of the Class Σ8 (X, n + k + 1) - Applied Mathematics

AM > Vol.9 No.4, April 2018

Applied Mathematics

Volume 9, Issue 4 (April 2018)

ISSN Print: 2152-7385 ISSN Online: 2152-7393

Google-based Impact Factor: 0.58 Citations

Generated Sets of the Complete Semigroup Binary Relations Defined by Semilattices of the Class Σ₈ (X, n + k + 1) ()

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Download as PDF (Size: 327KB) PP. 369-382

DOI: 10.4236/am.2018.94028 733 Downloads 1,317 Views

Author(s)

Yasha Diasamidze, Omari Givradze, Nino Tsinaridze, Giuli Tavdgiridze

Affiliation(s)

Faculty of Mathematics, Physics and Computer Sciences, Shota Rustaveli State University, Batumi, Georgia.

ABSTRACT

In this article, we study generated sets of the complete semigroups of binary relations defined by X-semilattices unions of the class Σ₈ (X, n + k +1) , and find uniquely irreducible generating set for the given semigroups.

KEYWORDS

Semigroup, Semilattice, Binary Relation

Share and Cite:

Diasamidze, Y. , Givradze, O. , Tsinaridze, N. and Tavdgiridze, G. (2018) Generated Sets of the Complete Semigroup Binary Relations Defined by Semilattices of the Class Σ₈ (X, n + k + 1). Applied Mathematics, 9, 369-382. doi: 10.4236/am.2018.94028.

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