Results 31 to 40 of about 62,478 (178)
Unit groups of group algebras on certain quasidihedral groups [PDF]
Surveys in Mathematics and its Applications, 2022 Let Fq be any finite field of characteristic p>0 having q = pn elements. In this paper, we have obtained the complete structure of unit groups of group algebras Fq[QD2k], for k = 4 and 5, for any prime p>0, where QD2k is quasidihedral group of order 2k.
Suchi Bhatt, Harish Chandra
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Remarks on the group of unıts of a corner ring
Cumhuriyet Science Journal, 2021 The aim of this study is to characterize rings having the following properties for a non-trivial idempotent element e of R, U (eRe) = e + eJ(R)e = e + J (eRe) (and U (eRe) = e + N (eRe)),where U (-), N (-) and J (-) denote the group of units, the set of ...
Tülay Yıldırım
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A Jacobson Radical Decomposition of the Fano-Snowflake Configuration
Symmetry, Integrability and Geometry: Methods and Applications, 2008 The Fano-Snowflake, a specific configuration associated with the smallest ring of ternions $R_{diamondsuit}$ (arXiv:0803.4436 and arXiv:0806.3153), admits an interesting partitioning with respect to the Jacobson radical of $R_{diamondsuit}$. The totality
Metod Saniga, Petr Pracna
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Approximation of Generalized Left Derivations
Abstract and Applied Analysis, 2008 We need to take account of the superstability for generalized left derivations (resp., generalized derivations) associated with a Jensen-type functional equation, and we also deal with problems for the Jacobson radical ranges of left derivations (resp ...
Sheon-Young Kang, Ick-Soon Chang
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The Jacobson radical of a CSL algebra [PDF]
Transactions of the American Mathematical Society, 1994 Summary: Extrapolating from Ringrose's characterization of the Jacobson radical of a nest algebra, Hopenwasser conjectured that the radical of a CSL algebra coincides with the Ringrose ideal (the closure of the union of zero diagonal elements with respect to finite sublattices). A general interpolation theorem is proved that reduces this conjecture for
Davidson, Kenneth R., Orr, John Lindsay
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Semicrossed products of the disk algebra and the Jacobson radical
, 2012 We consider semicrossed products of the disk algebra with respect to endomorphisms defined by finite Blaschke products. We characterize the Jacobson radical of these operator algebras.
Anchalee Khemphet +10 more
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The algebra of essential relations on a finite set [PDF]
, 2013 Let X be a finite set and let k be a commutative ring. We consider the k-algebra of the monoid of all relations on X, modulo the ideal generated by the relations factorizing through a set of cardinality strictly smaller than Card(X), called inessential ...
Bouc, Serge, Thévenaz, Jacques
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Some properties of comaximal ideal graph of a commutative ring [PDF]
Transactions on Combinatorics, 2017 Let $R$ be a commutative ring with identity. We use $varphi (R)$ to denote the comaximal ideal graph. The vertices of $varphi (R)$ are proper ideals of R which are not contained in the Jacobson radical of $R$, and two vertices $I$ and $J$ are
Mehrdad Azadi, Zeinab Jafari
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Some Results on the Divisible Hyperrings
Ibn Al-Haitham Journal for Pure and Applied Sciences, 2023 A class of hyperrings known as divisible hyperrings will be studied in this paper. It will be presented as each element in this hyperring is a divisible element.
Mayssam Fadel Abood +1 more
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An extension of the Jacobson radical [PDF]
Proceedings of the American Mathematical Society, 1951 A cluster [1 ]l is an additively written group closed under a multiplication which is right and left distributive with respect to the addition. A naring is a cluster whose additive group is abelian. A ring, then, is a naring whose multiplication is associative. The purpose of this note is to extend to an arbitrary cluster certain parts of N. Jacobson's
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