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Synthesis and Reactivity of N-Heterocyclic Carbene-Phosphinidene Manganese Complexes. [PDF]
Bockhardt D, Bannenberg T, Tamm M.
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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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Journal of Soviet Mathematics, 1987
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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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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Journal of Mathematical Sciences, 2005
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On the Lie and Jordan Rings of a Simple Associative Ring
American Journal of Mathematics, 1955Given any associative ring A we can form, using its operations and its elements, two new rings. These use the elements of A and the addition as defined in A, but new multiplications are introduced to render them rings, albeit not necessarily associative rings.
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Hypercommuting Values in Associative Rings With Unity [PDF]
AbstractLet $K$ be a commutative ring with unity, $R$ an associative $K$-algebra of characteristic different from $2$ with unity element and no nonzero nil right ideal, and $f({x}_{1} , \ldots , {x}_{n} )$ a multilinear polynomial over $K$. Assume that, for all $x\in R$ and for all ${r}_{1} , \ldots , {r}_{n} \in R$ there exist integers $m= m(x, {r}_{1}
Vincenzo de Filippis, Giovanni Scudo
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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).
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