Green’s relations on the seminearring of full hypersubstitutions of type (n)

• Published in: Algebra and Discrete Mathematics
• Date: 2003
• Main Authors: Changphas, Th., Denecke, K.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2003
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/154666
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Green’s relations on the seminearring of full hypersubstitutions of type (n) / Th. Changphas, K. Denecke // Algebra and Discrete Mathematics. — 2003. — Vol. 2, № 1. — С. 6–19. — Бібліогр.: 9 назв. — англ.

Hypersubstitutions are mappings which are used to define hyperidentities and solid varieties. In this paper we will show that the set of all hypersubstitutions of a given type forms a seminearring. We will give a full characterization of Green’s relation R on a sub-seminearring of the seminearri...