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On models of exponentiation. Identities in the HSI-algebra of posets

✍ Scribed by Gurgen Asatryan

Publisher
John Wiley and Sons
Year
2008
Tongue
English
Weight
131 KB
Volume
54
Category
Article
ISSN
0044-3050

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✦ Synopsis

Abstract

We prove that Wilkie's identity holds in those natural HSI‐algebras where each element has finite decomposition into components.

Further, we construct a bunch of HSI‐algebras that satisfy all the identities of the set of positive integers β„•. Then, based on the constructed algebras, we prove that the identities of β„• hold in the HSI‐algebra of finite posets when the value of each variable is a poset having an isolated point. (Β© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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