Results 21 to 30 of about 62,478 (178)
Jacobson radicals of ring extensions
Journal of Pure and Applied Algebra, 2012 In this paper \(R\) is an algebra with multiplicative identity over a field \(K\). If \(\sigma\) is a \(K\)-linear automorphism of \(R\), then a \(\sigma\)-derivation \(d\) is a \(K\)-linear map \(d\colon R\to R\) such that \(d(rs)=d(r)s+\sigma(r)d(s)\) for all \(r,s\in R\). The ring \(R^d=\{r\in R:d(r)=0\}\) is called the ring of constants. A \(\sigma\
Bergen, Jeffrey, Grzeszczuk, Piotr
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Finitely Presented Monoids and Algebras defined by Permutation Relations of Abelian Type, II [PDF]
, 2011 The class of finitely presented algebras A over a field K with a set of generators x_{1},...,x_{n} and defined by homogeneous relations of the form x_{i_1}x_{i_2}...x_{i_l}=x_{sigma(i_1)}x_{sigma(i_2)}...x_{sigma(i_l)}, where l geq 2 is a given integer ...
Cedo, Ferran +2 more
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Derivations in Banach algebras
International Journal of Mathematics and Mathematical Sciences, 2002 We present some conditions which imply that a derivation on a Banach algebra maps the algebra into its Jacobson radical.
Kyoo-Hong Park +2 more
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A radical for right near-rings: The right Jacobson radical of type-0
International Journal of Mathematics and Mathematical Sciences, 2006 The notions of a right quasiregular element and right modular right ideal in a near-ring are initiated. Based on these J0r(R), the right Jacobson radical of type-0 of a near-ring R is introduced. It is obtained that J0r is a radical map and N(R)⊆J0r(R),
Ravi Srinivasa Rao, K. Siva Prasad
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The Jacobson Radical of the Endomorphism Semiring of P.Q.- Principal Injective Semimodules
مجلة بغداد للعلوم, 2020 In this work, we introduced the Jacobson radical (shortly Rad (Ș)) of the endomorphism semiring Ș = ( ), provided that is principal P.Q.- injective semimodule and some related concepts, we studied some properties and added conditions that we needed ...
Aljebory et al.
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The matrix Jacobson graph of finite commutative rings
Electronic Journal of Graph Theory and Applications, 2022 The notion of the matrix Jacobson graph was introduced in 2019. Let R be a commutative ring and J(R) be the Jacobson radical of ring R. The matrix Jacobson graph of ring R size m × n, denoted 𝔍(R)m × n, is defined as a graph where the vertex set is Rm ...
Siti Humaira +3 more
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Groups which do not admit ghosts [PDF]
, 2007 A ghost in the stable module category of a group G is a map between representations of G that is invisible to Tate cohomology. We show that the only non-trivial finite p-groups whose stable module categories have no non-trivial ghosts are the cyclic ...
Chebolu, Sunil K. +2 more
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Problems on Skew Left Braces [PDF]
Advances in Group Theory and Applications, 2019 Braces were introduced by Rump as a generalization of Jacobson radical rings. It turns out that braces allow us to use ring-theoretic and group-theoretic methods for studying involutive solutions to the Yang–Baxter equation.
Leandro Vendramin
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A Note on the Jacobson Radical [PDF]
Proceedings of the American Mathematical Society, 1993 In this paper we solve a problem of Divinsky to represent the Jacobson radical as a lower radical class.
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A Counter-Example in Jacobson Radicals [PDF]
Proceedings of the American Mathematical Society, 1994 Let \(G\) be a reduced abelian \(p\)-group of length \(\lambda\), let \({\mathcal E}(G)\) denote the endomorphism ring of \(G\), and let \({\mathbf J}(G)\) be the Jacobson radical of \({\mathcal E}(G)\). For any ordinal \(\kappa \leq \lambda\), define \({\mathbf H}_ \kappa (G)\) to be the set of all \(\eta \in {\mathcal E} (G)\) with the property that,
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