Varieties of associative rings. I

DOI10.1007/BF02218695zbMath0288.16008MaRDI QIDQ1846481

I. V. L'vov

Publication date: 1974

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

Mathematics Subject Classification ID

Finite rings and finite-dimensional associative algebras (16P10) Rings with polynomial identity (16Rxx)

Related Items (28)

The finite basis problem for infinite involution semigroups of triangular \(2 \times 2\) matrices ⋮ Varieties of associative rings containing a finite ring that is nonrepresentable by a matrix ring over a commutative ring ⋮ A Nonfinitely Based Semigroup of Triangular Matrices ⋮ Unnamed Item ⋮ -graded identities of the Lie algebras in characteristic 2 ⋮ Finite basis problem for semigroups of order six ⋮ Describing ring varieties in which all finite rings have Hamiltonian zero-divisor graphs. ⋮ A non-finitely based involution semigroup of order five ⋮ The finite basis problem for Kiselman monoids. ⋮ On the varieties generated by ai-semirings of order two. ⋮ Specht property of varieties of graded Lie algebras ⋮ On simple finite-dimensional algebras with infinite basis of identities ⋮ The isomorphism problem in the context of PI-theory for two-dimensional Jordan algebras ⋮ On the variety generated by all semigroups of order three. ⋮ Cross varieties of aperiodic monoids with central idempotents. ⋮ Finite basis problem for involution monoids of unitriangular Boolean matrices ⋮ Weak polynomial identities and their applications ⋮ Finite Rings with Applications ⋮ Unnamed Item ⋮ A note on varieties of semiprime rings with semigroup identities ⋮ THE FINITE BASIS PROBLEM FOR INVOLUTION SEMIGROUPS OF TRIANGULAR MATRICES ⋮ The lattice of ai-semiring varieties satisfying \(x^n \approx x\) and \(xy \approx yx\) ⋮ THE VARIETY GENERATED BY AN AI-SEMIRING OF ORDER THREE ⋮ On the ascending and descending chain conditions in the lattice of monoid varieties ⋮ Identities in vector spaces and examples of finite-dimensional linear algebras having no finite basis of identities ⋮ Finite basis problem for Lee monoids with involution ⋮ A basis for the graded identities of the matrix algebra of order two over a finite field of characteristic \(p\neq 2\) ⋮ Finitely generated equational classes

Cites Work

• Unnamed Item
• Unnamed Item
• Identities satisfied by a finite ring
• Subrings of finite index in finitely generated rings
• Identical relations in finite groups
• Varieties of groups
• SOLVABLE JUST-NON-CROSS VARIETIES OF GROUPS
• Sums of Distinct Divisors and Sums of Distinct Units

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