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Translation from Itogi Nauki Tekh., Ser. Algebra, Topologiya, Geom. 22, 3--115 (Russian) (1984; Zbl 0564.16002).
Beĭdar, K. I. +5 more
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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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