Classification theorems for verbally semiprime algebras

DOI10.1080/00927879308824633zbMath0804.16023OpenAlexW2138100850MaRDI QIDQ4696699

Allan Berele

Publication date: 29 June 1993

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

Full work available at URL: https://doi.org/10.1080/00927879308824633

zbMATH Keywords

verbally prime algebrasdirect sum\(T\)-idealsP.I.-equivalenceverbally semi-prime P.I. algebra

Mathematics Subject Classification ID

Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) (T)-ideals, identities, varieties of associative rings and algebras (16R10) Semiprime p.i. rings, rings embeddable in matrices over commutative rings (16R20) Identities other than those of matrices over commutative rings (16R40)

Related Items (4)

Polynomial identities of algebras in positive characteristic. ⋮ Graded embeddings of finite dimensional simple graded algebras. ⋮ T-ideals and superAzumaya algebras ⋮ On Z₂-graded polynomial identities of verbally semiprime algebras

Cites Work

• Cocharacters of \(\mathbb Z/2\mathbb Z\)-graded algebras
• VARIETIES AND $ Z_2$-GRADED ALGEBRAS
• Generic verbally prime pi-algebras and their gk-dimensions

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