Results 31 to 40 of about 359 (141)

Rado's theorem for commutative rings

Journal of Combinatorial Theory, Series A, 1994
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Vitaly Bergelson, Walter A. Deuber, Neil Hindman, Hanno Lefmann   +3 more
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A commutativity theorem for rings [PDF]

Bulletin of the Australian Mathematical Society, 1991
We prove the following theorem: Let R be a ring, l a positive integer, and n a non-negative integer. If for each x, y ∈ R, either xy = yx or xy = xn f(y)x1 for some f(X) ∈ X2Z[X], then R is commutative.
Hiroaki Komatsu, Tsunekazu Nishinaka, Hisao Tominaga   +2 more
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On center-like elements in rings

International Journal of Mathematics and Mathematical Sciences, 1985
In a paper with a similar title Herstein has considered the structure of prime rings which contain an element a which satisfies either [a,x]n=0 or is in the center of R for each x in R.
Joe W. Fisher, Mohamed H. Fahmy
doaj   +1 more source

A Commutativity Theorem for Near-Rings [PDF]

Canadian Mathematical Bulletin, 1977
A ring or near-ring R is called periodic if for each xϵR, there exist distinct positive integers n, m for which xn = xm. A well-known theorem of Herstein states that a periodic ring is commutative if its nilpotent elements are central [5], and Ligh [6] has asked whether a similar result holds for distributively-generated (d-g) near-rings.
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Two theorems in the commutator calculus [PDF]

Transactions of the American Mathematical Society, 1972
Let F = ⟨ a
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On certain identities of generalized derivations of semirings with involution

Қарағанды университетінің хабаршысы. Математика сериясы
MA-semirings form a proper subclass of inverse semirings that properly contains both the class of rings and the class of distributive lattices with the least element.
L. Ali, M. Aslam
doaj   +1 more source

Common Fixed Point Theorems for (β, α)-Generalized Enriched Contractions in Banach Spaces

AppliedMath
This paper investigates common fixed point theorems for (β,α)-generalized enriched contractions in Banach spaces. We provide a corrected proof of an existing theorem on enriched contractions, thereby strengthening the reliability of results in this area.
Rekha Panicker, Rahul Shukla
doaj   +1 more source

Coincidence Points and Common Fixed Points of Cyclic Maps by Implicit Contractive Conditions

مجلة بغداد للعلوم
The study of common fixed points and coincidence points has occupied a large part of the priorities of researchers, especially in the metric space and its generalizations.
Abbas Karim Nahi, Salwa Salman Abed
doaj   +1 more source

On Causal Commutant Lifting Theorems

Journal of Mathematical Analysis and Applications, 1993
A causal commutant lifting theorem has been given for time-invariant operators by \textit{C. Foias} and \textit{A. Tannenbaum} [`Causality in commutant lifting theory', to appear in J. Funct. Anal.]. In this paper certain causal lifting theorems for time-varying operators are proved.
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w 1+∞ and Carrollian holography

Journal of High Energy Physics
In a 1 + 2D Carrollian conformal field theory, the Ward identities of the two local fields S 0 + $$ {S}_0^{+} $$ and S 1 + $$ {S}_1^{+} $$ , entirely built out of the Carrollian conformal stress-tensor, contain respectively up to the leading and the ...
Amartya Saha
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