Results 31 to 40 of about 115,159 (298)
Commuting Traces of Multiadditive Mappings
Journal of Algebra, 1997 Let \(R\) be a prime ring. The problem of determining those \(n\)-additive maps \(M\colon R^n\to R\) whose trace is commuting (that is, \([M(x,\dots,x),x]=0\) for all \(x\in R\)) was solved for \(n=1\) [J. Algebra 156, No. 2, 385-394 (1993; Zbl 0773.16017)] and \(n=2\) [Trans. Am. Math. Soc. 335, No.
Lee, P.-H +3 more
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Commuting and Centralizing Maps on Modules
Science and Technology IndonesiaA ring is a mathematical structure composed of a set with two binary operations that follow certain axioms. One important function within a ring is the centralizing and commuting mapping, which has been extensively studied in recent decades ...
Fitriani Fitriani +3 more
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Some Generalizations of Jungck's Fixed Point Theorem
International Journal of Mathematics and Mathematical Sciences, 2012 We are going to generalize the Jungck's fixed point theorem for commuting mappings by mean of the concepts of altering distance functions and compatible pair of mappings, as well as, by using contractive inequalities of integral type and contractive ...
J. R. Morales, E. M. Rojas
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Taiwanese Journal of Mathematics, 2004 Let \(R\) be a ring and \(S\) a nonempty subset of \(R\). A map \(f\colon S\to R\) is called commuting on \(S\) if \(f(x)x=xf(x)\) for all \(x\in S\). This paper is a wide-ranging and accessible survey dealing with commuting maps and related maps on various classes of rings, including prime and semiprime rings, Banach algebras, and \(C^*\)-algebras ...
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A Common Fixed Point Theorem in D*-Metric Spaces
Fixed Point Theory and Applications, 2007 We give some new definitions of D*-metric spaces and we prove a common fixed point theorem for a class of mappings under the condition of weakly commuting mappings in complete D∗-metric spaces.
Haiyun Zhou +2 more
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On the Power Map and Ring Commutativity [PDF]
Canadian Mathematical Bulletin, 1978 Let R denote an associative ring with 1, letnbe a positive integer, and letk= 1, 2, or 3. The ringRwill be called an (n, k)-ring if it satisfies the identitiesfor all integers m with n ≤ m ≤ n + k - 1. It was shown years ago by Herstein (See [2], [9], and [10]) that forn >1, any(n,l)-ring must have nil commutator idealC(R).Later Luh [12] proved that
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Common fixed point theorems for occasionally converse commuting mappings in symmetric spaces
, 1970 In this paper, we introduce the notion of occasionally converse commuting (occ) mappings. Every converse commuting mappings ([1]) are (occ) but the converse need not be true (see, Ex.1.1-1.3).
HK Pathak, RK Verma
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Mapping Overlapping Commuting-to-Work Areas [PDF]
Journal of Maps, 2010 This article focuses on mapping and delineating commuting areas of work travel (commuting-towork area - CTWA). Traditional procedures for delimiting these areas assign each municipality to a single catchment area. Commuting distances and the complexity of commuter flows have increased steadily over the years. A classical method in transport planning is
Killer, Veronika +1 more
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Periodic and fixed points, and commuting mappings
, 1979 We employ commuting mappings to produce generalizations of locally contractive and locally expansive maps, and obtain criteria for the existence of fixed and periodic points of arbitrary maps on compacta.
Gerald Jungck
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Commuting traces and commutativity preserving maps on triangular algebras
Journal of Algebra, 2004 The main result of the paper gives sufficient conditions under which every commuting trace of a bilinear map on a triangular algebra is of a standard form. These conditions are too technical to be stated here; let us just mention that they are fulfilled in the most important examples of triangular algebras.
Benkovič, Dominik, Eremita, Daniel
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