A class of algebras called down-up algebras was introduced by G. Benkart and T. Roby (1998, J. Algebra 209, 305-344). We classify the finite dimensional simple modules over Noetherian down-up algebras and show that in some cases every finite dimensional module is semisimple. We also study the questi
Algebraic theories, clones and their segments
✍ Scribed by Věra Trnková
- Book ID
- 104630167
- Publisher
- Springer
- Year
- 1996
- Tongue
- English
- Weight
- 447 KB
- Volume
- 4
- Category
- Article
- ISSN
- 0927-2852
No coin nor oath required. For personal study only.
✦ Synopsis
Isomorphism and elementary equivalence of segments of clones of objects in concrete categories are investigated. A survey of results about the finitary case is presented and a new theorem about the infinitary case is proved.
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