Partially ordered sets and nonmatrix identities of associative algebras

DOI10.1007/BF01875930zbMath0358.16012MaRDI QIDQ1239228

Victor N. Latyshev

Publication date: 1977

Published in: Algebra and Logic (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/186914

Mathematics Subject Classification ID

Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.) (16S10) Finite rings and finite-dimensional associative algebras (16P10) Rings with polynomial identity (16Rxx)

Related Items (max. 100)

Weak polynomial identities for the matrix algebra of order two ⋮ Unnamed Item ⋮ \(Y\)-proper graded cocharacters of the algebra \(UT_m(F)\) of \(m \times m\) upper triangular matrices over \(F\) ⋮ Specht property of varieties of graded Lie algebras ⋮ \(Y\)-proper graded cocharacters and codimensions of upper triangular matrices of size 2, 3, 4. ⋮ Noetherianity and Specht problem for varieties of bicommutative algebras ⋮ Associative rings ⋮ Associative rings ⋮ On \(\mathbb Z_2\)-graded identities of \(UT_2(E)\) and their growth.

Cites Work

• Generalization of the Hilbert theorem on the finiteness of bases
• ABELIAN BY NILPOTENT VARIETIES
• Ordering by Divisibility in Abstract Algebras
• The T -Ideals of the Free Ring
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