Results 91 to 100 of about 1,530 (213)
, 2005 Inclines are additively idempotent semirings in which products are less than or equal to either factor. Thus they generalize Boolean algebra, fuzzy algebra and distributive lattice. This paper studies the nilpotent incline matrices in detail.
Li, Hong-Xing +2 more
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Reduced and irreducible simple algebraic extensions of commutative rings [PDF]
Mathematica Moravica, 2017 Let A be a commutative ring with identity and be an algebraic element over A. We give necessary and sufficient conditions under which the simple algebraic extension A[α] is without nilpotent or without idempotent elements.
Mihovski S.V.
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ON THE NILPOTENT DOT PRODUCT GRAPH OF A COMMUTATIVE RING [PDF]
Journal of Algebraic SystemsLet $\mathscr{B}$ be a commutative ring with $1\neq 0$, $1\leq ...
Asma Ali, Bakhtiyar Ahmad
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Refined Dynkin Data for Nilpotent Elements
Advances in Mathematics, 1994 For a complex semisimple Lie group \(G\), whose Lie algebra \(\mathfrak g\) acts by vector fields on the flag variety \({\mathcal B} (G/B)\), the class \(\text{cl}_B(x)\) (Cartan algebra of \(\mathfrak g\)) of nilpotent elements \(x \in \mathfrak g\) with respect to the Borel subgroup \(B \in {\mathcal B}\) in \(G\) is defined and studied in detail ...
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On the ideals of extended quasi-nilpotent Banach algebras
International Journal of Mathematics and Mathematical Sciences, 1991 Given a quasi-nilpotent Banach algebra A, we will use the results of Seddighin [2], to study the properties of elements which belong to a proper closed two sided ideal of A¯ and A¯¯. Here A¯ is the extension of A to a Banach Algebra with identity.
Morteza Seddighin
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Real elements and p-nilpotence of finite groups
Advances in Group Theory and Applications, 2016 Our first main result proves that every element of order 4 of a Sylow 2-subgroup S of a minimal non-2-nilpotent group G, is a real element of S. This allows to give a character-free proof of a theorem due to Isaacs and Navarro (see [9, Theorem B]). As an application, the authors show a common extension of the p-nilpotence criteria proved in [3] and [9].
Ballester Bolinches, Adolfo +2 more
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Quadratic Jordan algebras whose elements are all regular or nilpotent
, 1974 We prove that if J J is a quadratic Jordan algebra whose elements are all either regular or nilpotent, and which satisfies a common multiple property (that whenever z z is nilpotent and υ \upsilon ...
Kevin McCrimmon
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Trace-like functions on rings with no nilpotent elements
, 1982 Let R R be a ring with no nilpotent elements, with extended center C C , and let E E be the set of idempotents in C C . Our first main result is that for any finite group G
M. Cohen, Susan Montgomery
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On Generalized Periodic-Like Rings
International Journal of Mathematics and Mathematical Sciences, 2007 Let R be a ring with center Z, Jacobson radical J, and set N of all nilpotent elements. Call R generalized periodic-like if for all x∈R∖(N∪J∪Z) there exist positive integers m, n of opposite parity for which xm−xn∈N∩Z.
Howard E. Bell, Adil Yaqub
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The nilpotent regular element problem
, 2015 We use George Bergman's recent normal form for universally adjoining an inner inverse to show that, for general rings, a nilpotent regular element $x$ need not be unit-regular. This contrasts sharply with the situation for nilpotent regular elements in exchange rings (a large class of rings), and for general rings when all powers of the nilpotent ...
Ara, P., O'Meara, K. C.
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