In this paper we give a characterization of Bernstein algebras whose lattices of subalgebras are modular. When the ground field is algebraically closed we prove that such algebras must be genetic and give a complete classification up to isomorphism. 1994 Academic Press, Inc.
Finite Modular Effect Algebras
β Scribed by Scott R. Sykes
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 187 KB
- Volume
- 19
- Category
- Article
- ISSN
- 0196-8858
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β¦ Synopsis
The purpose of this paper is to prove that the only finite modular irreducible nondistributive lattices that can be organized into effect algebras are the lattices M consisting of 0, 1, and n atoms. Furthermore, the only finite modular nondisn tributive lattices that can be organized as such are products of M s and chains. n
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