T-spaces in associative algebras.

DOI10.1007/s10958-007-0221-3zbMath1153.16020OpenAlexW2058191304MaRDI QIDQ941933

E. A. Kireeva

Publication date: 3 September 2008

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-007-0221-3

zbMATH Keywords

surveyfree associative algebrasideals of identitiesT-idealspolynomial identitiesPI algebrasfinite basis propertyT-spacesfinite bases of identitieslimit varietiesminimal varieties

Mathematics Subject Classification ID

Other kinds of identities (generalized polynomial, rational, involution) (16R50) (T)-ideals, identities, varieties of associative rings and algebras (16R10) Semiprime p.i. rings, rings embeddable in matrices over commutative rings (16R20)

Cites Work

• T-spaces and their applications.
• On some extremal varieties of associative algebras.
• Gesetze in Ringen. I
• CONSTRUCTION OF NON-FINITELY BASED T-IDEALS
• A JUST NON-FINITELY BASED VARIETY OF BIGROUPS
• A Non-Finitely Based System of Polynomial Identities Which Contains the Identity x6 = 0
• Polynomial identities in nil-algebras
• Some Finitely Based Varieties of Groups
• Examples ofT-spaces with an infinite basis
• Counterexamples to the Specht problem
• An almost Spechtian variety of alternative algebras over a field of characteristic 3
• On non-Spechtianness of the variety of associative rings that satisfy the identity 𝑥³²=0
• IDENTITIES OF FINITELY GENERATED ALGEBRAS OVER AN INFINITE FIELD
• The finite basis property ofT-spaces over fields of characteristic zero
• Just non-finitely-based varieties of groups
• Ordering by Divisibility in Abstract Algebras
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