This article is cited in 12 papers

RESEARCH ARTICLE

Free rectangular dibands and free dimonoids

Anatolii V. Zhuchok

Department of Mechanics and Mathematics, Kyiv National Taras Shevchenko University, Volodymyrska str., 64, Kyiv, 01033, Ukraine

Abstract: We construct a free rectangular diband and describe its structure. We also present the least rectangular diband congruence, the least $(rb,rz)$-congruence, the least left zero and right zero congruence, the least rectangular band congruence and the least left zero congruence on free dimonoids and use them to obtain decompositions of free dimonoids.

Keywords: rectangular dimonoid, free rectangular dimonoid, free dimonoid, diband of subdimonoids.

MSC: 08B20, 20M10, 20M50, 17A30, 17A32

Received: 23.02.2011
Revised: 27.05.2011

Language: English

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