Results 241 to 250 of about 1,450,468 (275)
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Properties of rough ideals in commutative rings
2008 IEEE International Conference on Granular Computing, 2008We discuss the relation between the upper and lower rough ideal, rough prime (primary) ideal, and induce a full congruence relation in original image to its homomorphism image. The properties of rough prime (primary) ideals of their homomorphism images in commutative rings are discussed.
Jiyi Wang, Renbing Lin
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A Near-Commutativity Property for Rings
Results in Mathematics, 2002In the paper under review, a ring \(R\) is called a \(B_2\)-ring if for each 2-subset \(A\) of \(R\), \(| A^2|\leq 3\) -- that is, for each pair \(a,b\) of distinct elements of \(R\), the set \(\{a^2,b^2,ab,ba\}\) has at most 3 elements. Clearly, every commutative ring is a \(B_2\)-ring; and it is proved in [\textit{H. E. Bell} and \textit{A. A. Klein},
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Some Properties of Commutators and the Equations of Motion
Physica Scripta, 1977In this paper we calculate the commutators of operator functions for non-commuting operators on a Heisenberg ring. The commutator of two operators can be expressed with the help of the fundamental operators and their differentials. Using the theorem of the derivative of a function of operators with respect to any parameter, we can find tne equation of ...
Jannussis, A. +3 more
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Some properties of commutation in free partially commutative monoids
Information Processing Letters, 1985Let A be a finite alphabet, denote by \(\theta\) the commutation relation on A and let \(A^*\) be the free monoid over A. For any \(u,v\in A^*\) let \(u=v| \theta |\) iff there exist \(u_ 1,...,u_ n\in A^*\) such that \(u_ 1=u\), \(u_ n=v\) and for all \(i=1,...,n-1\), \(u_ i=g_ iabd_ i\) and \(u_{i+1}=g_ ibad_ i\) with (a,b)\(\in \theta\) holds.
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On the property of local commutativity
Functional Analysis and Its Applications, 1998zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Properties of ``Quadratic'' Canonical Commutation Relation Representations
Journal of Mathematical Physics, 1969A class of representations of the canonical commutation relations is studied, each of which is characterized by an expectation functional that is the exponential of a Euclidean-invariant quadratic form of the test functions. The underlying field operators are realized as the direct product of two Fock representations and the consequences of this ...
Klauder, John R., Streit, Ludwig
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Diophantine properties of finite commutative rings
Archive for Mathematical Logic, 2003Over some particular rings (for example, over the ring of integers, \(\mathbb{Z }\)) the main logical relations (disjunctions, conjunctions and negations) of polynomial equations admit Diophantine definitions. The main contribution of this paper is to investigate the Diophantine definability of these relations over an arbitrary finite commutative ring ...
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Using commutativity properties for controlling coercions
1995This paper investigates some soundness conditions which have to be fulfilled in systems with coercions and generic operators. A result of Reynolds on unrestricted generic operators is extended to generic operators which obey certain constraints. We get natural conditions for such operators, which are expressed within the theoretic framework of category
Stephan A. Missura, Andreas Weber 0004
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Some properties of commuting and anti-commuting m-involutions
Acta Mathematica Scientia, 2012Abstract We define an m-involution to be a matrix K ∈ ℂ n × n for which Km = I. In this article, we investigate the class Sm (A) of m-involutions that commute with a diagonalizable matrix A ∈ ℂ n × n .
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Two commutativity properties for rings
Mathematical Journal of Okayama University, 1984Let A be a nonempty subset of the ring R, and let n be a fixed positive integer. We call R a Q(n)-ring if \(n[x,y]=0\) implies \([x,y]=0\); we say that R has property (II-A) if for each x,y\(\in R\) such that x-y\(\in A\), either \(x^ 2=y^ 2\) or x and y both centralize A.
Psomopoulos, Evagelos +2 more
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