Results 301 to 310 of about 11,317,036 (365)
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Quotient rings of graded associative rings. I
Journal of Mathematical Sciences, 2012The paper under review is a survey concerning graded quotient rings of associative rings graded by groups. Some new results are also included. The paper is structured in ten sections as follows: 1. Basic definitions and properties, 2. Graded analogs of classical notions, 3. Graded rational extensions and rings of quotients, 4.
Balaba, I. N. +2 more
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Lie Rings of Derivations of Associative Rings
Journal of the London Mathematical Society, 1978Let $R$ be an associative ring with centre $Z$. The aim of this paper is to study how the ideal structure of the Lie ring of derivations of $R$, denoted $D(R)$, is determined by the ideal structure of $R$. If $R$ is a simple (respectively semisimple) finite-dimensional $Z$-algebra and δ$(z)$ = 0 for all δ ∈ $D(R)$, then every derivation of $R$ is inner
Jordan, C. R., Jordan, D. A.
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Lower Radicals in Associative Rings
Canadian Journal of Mathematics, 1969 Given a homomorphically closed class of (not necessarily associative) rings , the lower radical property determined by is the least radical property for which all rings in are radical. Recently (7) a process of constructing the lower radical property from a class of associative rings has been given which terminates after a countable number of steps.
J. Watters
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MULTIPLICATIVE CLASSIFICATION OF ASSOCIATIVE RINGS
Mathematics of the USSR-Sbornik, 1989See the review in Zbl 0645.16024.
A. Mikhalev
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On rings asymptotically close to associative rings
Siberian Advances in Mathematics, 2007Summary: The subject of this work is an extension of A. R. Kemer's results to a rather broad class of rings close to associative rings, over a field of characteristic 0 (in particular, this class includes the varieties generated by finite-dimensional alternative and Jordan rings).
A. Ya. Belov
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Third power associative rings satisfying a(bc)=b(ca)
Communications in Algebra, 2023In this paper, we study third power associative rings satisfying the identity We prove that third power associative rings satisfying the identity with characteristics are power associative and associators generate nilpotent ideal with index of nilpotency
Dhabalendu Samanta
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On the Representation of Lie Rings in Associative Rings
2009English translation in Selected Works of A.I. Shirshov, Contemporary Mathematicians, 15--17 (2009; Zbl 1188.01028).
A. I. Shirshov
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