Finite-dimensional 鈩?/i>-simple lattice-ordered algebras with a d-basis
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- 作者：Jingjing Ma (1) ma@uhcl.edu
- 关键词：Finite ; dimensional – ; lattice ; ordered algebra – ; ℓ ; simple – ; d ; basis – ; matrix algebra – ; twisted semigroup algebra
- 刊名：Algebra Universalis
- 出版时间：June 2011
- 出版年：2011
- 期刊代码：8_0002-5240
- 类别：mat
- 卷：65
- 期：4
- 页码：341-351
- 数据来源：sp
摘要
It is shown that a unital finite-dimensional ℓ-simple ℓ-algebra with a distributive basis is isomorphic to a lattice-ordered matrix algebra with the entrywise lattice order over a lattice-ordered twisted group algebra of a finite group with the coordinatewise lattice order. It is also shown that the isomorphism is unique.