Modular Bernstein Algebras
β Scribed by T. Cortes
- Publisher
- Elsevier Science
- Year
- 1994
- Tongue
- English
- Weight
- 453 KB
- Volume
- 163
- Category
- Article
- ISSN
- 0021-8693
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β¦ Synopsis
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.
π SIMILAR VOLUMES
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 pro
The modularity of a ribbon Hopf algebra is characterized by the Drinfeld map. Ε½ An elementary approach to Etingof and Gelaki's 1998, Math. Res. Lett. 5, . 119α197 result on the dimensions of irreducible modules is given by deducing the Ε½ . necessary identities involving the matrix S from the well-k
The aim of this paper is to prove a conjecture due to Y. Lyubich, according to which a nuclear Bernstein algebra with a stochastic basis is regular.
This means that any identity f of A is a consequence of identities in S, i.e., f can be obtained consequently from S by means of replacing of variables with polynomials, multiplication by polynomials and linear combination. A minimal set of generators is called a base of identities of A. Let B be a