This article is cited in 6 papers

RESEARCH ARTICLE

Free normal dibands

Anatolii V. Zhuchok

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

Abstract: We construct a free normal diband, a free $(\ell n,n)$-diband, a free $(n,rn)$-diband and a free $(\ell n,rn)$-diband. We also describe the structure of free normal dibands and characterize some least congruences on these dibands.

Keywords: normal diband, free normal diband, diband of subdimonoids, dimonoid, semigroup.

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

Received: 25.10.2011
Revised: 05.12.2011

Language: English

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