Free (ℓr, rr)-dibands

We prove that varieties of (ℓr, rr)-dibands and (ℓn, rn)-dibands coincide and describe the structure of free (ℓr, rr)-dibands. We also show that operations of an idempotent dimonoid with left (right) regular bands coincide, construct a new class of dimonoids and for such dimonoids give an example of...

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Bibliographic Details
Date:2013
Main Author: Zhuchok, A.V.
Format: Article
Language:English
Published: Інститут прикладної математики і механіки НАН України 2013
Series:Algebra and Discrete Mathematics
Online Access:http://dspace.nbuv.gov.ua/handle/123456789/152297
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Free (ℓr, rr)-dibands / A. V. Zhuchok // Algebra and Discrete Mathematics. — 2013. — Vol. 15, № 2. — С. 295–304. — Бібліогр.: 12 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine