CENTERS OF DOWN-UP ALGEBRAS OVER FIELDS OF PRIME CHARACTERISTIC

DOI10.1081/AGB-120006485zbMath1006.16027MaRDI QIDQ4531140

Jeff Hildebrand

Publication date: 8 December 2002

Published in: Communications in Algebra (Search for Journal in Brave)

zbMATH Keywords

centersdown-up algebras

Mathematics Subject Classification ID

Finite rings and finite-dimensional associative algebras (16P10) Finite generation, finite presentability, normal forms (diamond lemma, term-rewriting) (16S15) Center, normalizer (invariant elements) (associative rings and algebras) (16U70)

Related Items (7)

Irreducible finite-dimensional modules of prime characteristic down-up algebras. ⋮ PRIMITIVE IDEALS OF NON-NOETHERIAN DOWN-UP ALGEBRAS ⋮ Down–up algebras over a polynomial base ring 𝕂[t₁,…,t_n] ⋮ Hopf down-up algebras. ⋮ MONOLITHIC MODULES OVER NOETHERIAN RINGS ⋮ Congenial algebras: Extensions and examples ⋮ EXAMPLES OF FCR-ALGEBRAS

Cites Work

• Down-up algebras
• Centers of down-up algebras
• Noetherian down-up algebras
• Irreducible representations of a simple three-dimensional lie algebra over a field of finite characteristic

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