Results 11 to 20 of about 534 (145)
On commutativity of rings with constraints on subsets [PDF]
Czechoslovak Mathematical Journal, 1993 Summary: Let \(R\) be a ring with center \(Z(R)\), and let \(A(R)\) be an appropriate subset of \(R\). In this paper, it is shown that \(R\) is commutative if and only if for every \(x,y\in R\), there exist integers \(k=k(x,y)\geq 1\), \(m=m(x,y)>1\), and \(n=n(x,y)\geq 1\) such that \([x,x^ny-y^mx^k]=0\) and for each \(x\in R\) either \(x\in Z(R ...
Abujabal, H. A. S. +3 more
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Commutative idempotent groupoids and the constraint satisfaction problem
Algebra universalis, 2015 A restatement of the Algebraic Dichotomy Conjecture, due to Maroti and McKenzie, postulates that if a finite algebra A possesses a weak near-unanimity term, then the corresponding constraint satisfaction problem is tractable. A binary operation is weak near-unanimity if and only if it is both commutative and idempotent. Thus if the dichotomy conjecture
Bergman, Clifford, Failing, David
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The role of commutativity in constraint propagation algorithms [PDF]
ACM Transactions on Programming Languages and Systems, 2000 Constraing propagation algorithms form an important part of most of the constraint programming systems. We provide here a simple, yet very general framework that allows us to explain several constraint propagation algorithms in a systematic way. In this framework we proceed in two steps.
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Commutativity results for rings with certain constraints on commutators
Proyecciones (Antofagasta), 2018 We investigate here the commutativity of a left (resp. right) s-unital ring R satisfying the polynomial identity yr [xny] xt = ±y3 [x, ym] (resp. yr [xn, y] xt = ± [x, ym] ys ) for some non-negative integers m >0, n > 0, r, s and t such that n + t > 1 (resp. m + s > 1 for r = 0). For such a ring R, we prove the commutativity if n + t > 1,
Hamza A. S. Abujabal, Veselin Peric
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On commutativity of rings with some polynomial constraints [PDF]
Bulletin of the Australian Mathematical Society, 1990 Let R be an associative ring with unity 1, N(R) the set of nilpotents, J(R) the Jacobson radical of R and n > 1 be a fixed integer. We prove that R is commutative if and only if it satisfies (xy)n = ynxn for all x, y ∈ R \ N(R) and commutators in R are n(n + 1)-torsion free. Moreover, we extend the same result in the case when x, y ∈ R\J(R).
Ashraf, Mohd., Quadri, Murtaza A.
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Commutativity of Rings with Constraints Involving a Subset [PDF]
Czechoslovak Mathematical Journal, 2003 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Commutativity of rings with contraints on nilpotents and nonnilpotents [PDF]
International Journal of Mathematics and Mathematical Sciences, 1989 Let R be a ring, N its set of nilpotent elements, and \(n>1\) a fixed positive integer. It is proved that R is commutative if it satisfies the following conditions: (i) N is commutative; (ii) \(x^ ny=xy^ n\) for all \(x,y\in R\setminus N\); (iii) if \(a\in N\), \(b\in R\) and \(n![a,b]=0\), then \([a,b]=0\). None of the three conditions can be deleted.
Mohamad Hasanali, Adil Yaqub
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Commutativity of rings with polynomial constraints [PDF]
Czechoslovak Mathematical Journal, 2002 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Fractal and FractionalIn this study, we present a unified symmetry-conservation solution analysis of a well-posed resonant nonlinear Schrödinger (NLS)-type equation incorporating spatio-temporal dispersion and inter-modal dispersion.
Funda Turk
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Updatable Closed‐Form Evaluation of Arbitrarily Complex Multiport Network Connections
Advanced Electronic Materials, EarlyView.The inverse design of electrically large wave devices often uses reduced‐order multiport models with discrete optimization, requiring many evaluations of complex interconnections between subsystems that differ only in a few blocks. This paper introduces a closed‐form framework enabling efficient Woodbury low‐rank updates of related, previous ...
Hugo Prod'homme, Philipp del Hougne
wiley +1 more source