Results 51 to 60 of about 451,522 (183)
Prime (-1, 1) Rings with Idempotent [PDF]
Proceedings of the American Mathematical Society, 1967 Algebras of type \((\gamma,\delta)\)) were first defined by \textit{A. A. Albert} [Port. Math. 8, 23--36 (1949; Zbl 0033.15401)]. In a 1963 paper [Proc. Am. Math. Soc. 14, 110--117 (1963; Zbl 0108.26101)] \textit{C. Maneri} showed that a simple \((-1,1)\) ring with a nontrivial idempotent and characteristic prime to 6 must be associative.
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On generalized homoderivations of prime rings
Математичні Студії, 2023 Let $\mathscr{A}$ be a ring with its center $\mathscr{Z}(\mathscr{A}).$ An additive mapping $\xi\colon \mathscr{A}\to \mathscr{A}$ is called a homoderivation on $\mathscr{A}$ if $\forall\ a,b\in \mathscr{A}\colon\quad \xi(ab)=\xi(a)\xi(b)+\xi(a)b+a\xi(
N. Rehman +2 more
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A prime ideal principle for two-sided ideals
, 2016 Many classical ring-theoretic results state that an ideal that is maximal with respect to satisfying a special property must be prime. We present a "Prime Ideal Principle" that gives a uniform method of proving such facts, generalizing the Prime Ideal ...
Reyes, Manuel L.
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(θ1,θ2) - Derivation Pair on Rings
Ibn Al-Haitham Journal for Pure and Applied Sciences, 2022 Ring theory is one of the influential branches of abstract algebra. In this field, many algebraic problems have been considered by mathematical researchers who are working in this field.
Mohammed Khalid Shahoodh
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Ring Endomorphisms with Large Images [PDF]
, 2012 The notion of ring endomorphisms having large images is introduced. Among others, injectivity and surjectivity of such endomorphisms are studied. It is proved, in particular, that an endomorphism S of a prime one-sided noetherian ring R is injective ...
Leroy, André, Matczuk, Jerzy
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Dependent Automorphisms in Prime Rings [PDF]
Canadian Mathematical Bulletin, 1998 AbstractFor each n ≥ 4 we construct a class of examples of a minimal C dependent set of n automorphisms of a prime ring R, where C is the extended centroid of R. For n = 4 and n = 5 it is shown that the preceding examples are completely general, whereas for n = 6 an example is given which fails to enjoy any of the nice properties of the above example.
Brešar, Matej +2 more
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Semidegenerate Congruence-modular Algebras Admitting a Reticulation
Scientific Annals of Computer Science, 2023 The reticulation L(R) of a commutative ring R was introduced by Joyal in 1975, then the theory was developed by Simmons in a remarkable paper published in 1980. L(R) is a bounded distributive algebra whose main property is that the Zariski prime
George Georgescu
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A note on the Eisenbud-Mazur Conjecture [PDF]
, 2014 The Eisenbud-Mazur conjecture states that given an equicharacteristic zero, regular local ring (R,\mathfrak{m}) and a prime ideal P\subset R, we have that P^{(2)}\subseteq mP.
More, Ajinkya A
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ON DIFFERENTIAL IDEALS OF DIFFERENTIAL RINGS [PDF]
مجلة جامعة الانبار للعلوم الصرفة, 2012 In this paper we introduce two operators denoted by and of a differential ring constructed from a subset of a differential ring. We shall also discuss the relationship between these operators and the differential ideals in differential rings, and Keigher
Yaseen A.W. Alhiti
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What is the length of a knot in a polymer?
, 2005 We give statistical definitions of the length, l, of a loose prime knot tied into a long, fluctuating ring macromolecule. Monte Carlo results for the equilibrium, good solvent regime show that ~ N^t, where N is the ring length and t ~ 0.75 is ...
Marcone, B. +3 more
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