Results 261 to 270 of about 3,347 (305)

Associative rings

Journal of Soviet Mathematics, 1980
Andrunakievich, V. A., Arnautov, V. I., Goyan, I. M., Ryabukhin, Yu. M.   +3 more
exaly   +3 more sources

Lie Rings of Derivations of Associative Rings

Journal of the London Mathematical Society, 1978
Let $R$ 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.
openaire   +1 more source

Associative rings

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., Latyshev, V. N., Markov, V. T., Mikhalev, A. V., Skornyakov, L. A., Tuganbaev, A. A.   +5 more
openaire   +1 more source

Quotient rings of graded associative rings. I

Journal of Mathematical Sciences, 2012
The 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., Kanunnikov, A. L., Mikhalev, A. V.   +2 more
openaire   +1 more source

Quivers of Associative Rings

Journal of Mathematical Sciences, 2005
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

On rings asymptotically close to associative rings

Siberian Advances in Mathematics, 2007
Summary: 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).
openaire   +2 more sources

On the Representation of Lie Rings in Associative Rings

2009
English translation in Selected Works of A.I. Shirshov, Contemporary Mathematicians, 15--17 (2009; Zbl 1188.01028).
openaire   +1 more source

ON THE ASSOCIATED GRAPHS TO A COMMUTATIVE RING

Journal of Algebra and Its Applications, 2012
Let R be a commutative ring with nonzero identity. For an arbitrary multiplicatively closed subset S of R, we associate a simple graph denoted by ΓS(R) with all elements of R as vertices, and two distinct vertices x, y ∈ R are adjacent if and only if x+y ∈ S. Two well-known graphs of this type are the total graph and the unit graph.
Barati, Z., Khashyarmanesh, K., Mohammadi, Fatemeh, Nafar, Khosro   +3 more
openaire   +2 more sources

On the Lie and Jordan Rings of a Simple Associative Ring

American Journal of Mathematics, 1955
Given 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.
openaire   +2 more sources

Vnr-GRAPHS ASSOCIATED WITH RINGS

JP Journal of Algebra, Number Theory and Applications, 2017
Summary: Let \(R\) be a finite commutative ring with nonzero identity. The Vnr-graph of \(R\), denoted by \(G_{Vnr^\times}(R)\) has its set of vertices equal to the set of all elements of \(R\); distinct vertices \(x\) and \(y\) are adjacent if and only if \(xy\) is a von Neumann regular element of \(R\).
Taloukolaei, Ali Jafari, Sahebi, Shervin
openaire   +1 more source