Results 111 to 120 of about 533 (145)

Commutativity of rings with constraints on commutators

Results in Mathematics, 1985
Let F denote a commutative ring, \(F\) the corresponding ring of polynomials in two non-commuting indeterminates, and F[X,Y] the ring of polynomials in two commuting indeterminates. A polynomial \(f(X,Y)\in F\) is called admissible if each of its monomials has length at least 3 and f(X,Y) has trivial image under the natural F-algebra map from \(F\) to ...
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On the Commutativity of Rings with Constraints on Commutators.

International Journal of Mathematics and Computer Science
We investigate the commutativity of rings with identity satisfying identities involving commutators and their powers in the class of M!-torsion-free rings. We obtain sufficient conditions for commutativity from identities of the forms [x,y^m]=0, [x^n,y^m]=0, and [x^n,y]=[x,y^m], as well as from conditions on mappings preserving commutators.
Utsanee Leerawat, Chitlada Somsup
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Associative-commutative deduction with constraints

1994
Associative-commutative equational reasoning is known to be highly complex for theorem proving. Hence, it is very important to focus deduction by adding constraints, such as unification and ordering, and to define efficient strategies, such as the basic requirements a la Hullot.
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Yoruba serial verb string commutability constraints

Lingua, 1983
Abstract Up to now, much work on the serial verb construction has been devoted either to the historical derivation of the construction or to its synchronic grammatical status. By focusing on a hitherto neglected aspect of the serial verb construction, that of the commutability constraints on verbs operating in concomitant serialization, this paper ...
S.Ayotunde Ekundayo, F.Niyi Akinnaso
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Commutativity of rings with variable constraints

Publicationes Mathematicae Debrecen, 2001
Let \(m>1\), \(r\geq 0\) be fixed non-negative integers and \(R\) be a ring. We say that a ring \(R\) has the property \(Q(m)\), if from \(m[x,y]=0\) it follows that \([x,y]=0\) for all \(x,y\in R\), where \([x,y]=xy-yx\) is the Lie commutator; the property \(P_1\), if for each \(x\in R\) there exists a polynomial \(f(X,Y)=f_x(X,Y)\in R\langle X,Y ...
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Commutativity of Involutorial Rings with Constraints on Left Multipliers

Communications in Mathematics and Applications, 2011
Let $(R, \ast)$ be a ring with involution and let $Z(R)$ be the center of $R$. The purpose of this paper is to explore the commutativity of $R$ if it admits a left multiplier $F$ satisfying certain identities on Lie ideals. Furthermore, some results for left multipliers in prime rings are extended to Lie ideals.
L. Oukhtite, L. Taoufiq
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Concurrent constraint programming and non-commutative logic

1998
This paper presents a connection between the intuitionistic fragment of a non-commutative version of linear logic introduced by the first author (NLI) and concurrent constraint programming (CC). We refine existing logical characterizations of operational aspects of CC, by providing a logical interpretation of finer observable properties of CC programs,
Paul Ruet, François Fages
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Commutativity theorems for rings with constraints involving a subset

Results in Mathematics, 1985
Let R denote a ring with center C, and let Z denote the integers. Beginning with a list of nineteen ring properties, the authors study commutativity and structure of rings having certain sets of these properties. Of their many results, we give two samples: (I) Let \(n>1\), and let \(q>1\) be a power of a prime. Let R be a ring with 1, such that nx\(\in
Tominaga, Hisao, Yaqub, Adil
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Constraints affecting mode choices by morning car commuters

Transport Policy, 2004
In New Zealand as elsewhere, there is an increasing interest in alleviating congestion on the road transport network to improve economic productivity, reduce pollution, and to use the transport network more effectively. Governments enact various policies to encourage car drivers to change their behaviour, but often find that the full impact is not ...
O'Fallon, Carolyn, SULLIVAN, Charles, Hensher, David A   +2 more
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How commutators of constraints reflect the spacetime structure

Annals of Physics, 1973
Abstract The structure constants of the “algebra” of constraints of a parametrized field theory are derived by a simple geometrical argument based exclusively on the path independence of the dynamical evolution; the change in the canonical variables during the evolution from a given initial surface to a given final surface must be independent of the ...
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