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On the Word Problem for Orthocomplemented Modular Lattices

Published online by Cambridge University Press:  20 November 2018

Michael S. Roddy
Michael S. Roddy*
Affiliation:
Brandon University, Brandon, Manitoba
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In [16] Freese showed that the word problem for the free modular lattice on 5 generators is unsolvable. His proof makes essential use of Mclntyre's construction of a finitely presented field with unsolvable word problem [30]. (We follow Cohn [7] in calling what is commonly called a division ring a field, and what is commonly called a field a commutative field.) In this paper we will use similar ideas to obtain unsolvability results for varieties of modular ortholattices. The material in this paper is fairly wide ranging, the following are recommended as reference texts.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 41 , Issue 6 , 01 December 1989 , pp. 961 - 1004
Copyright
Copyright © Canadian Mathematical Society 1989

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