COMPOSITION OF DERIVATIONS ON MULTILINEAR POLYNOMIALS IN PRIME RINGS

V. De Filippis

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COMPOSITION OF DERIVATIONS ON MULTILINEAR POLYNOMIALS IN PRIME RINGS

机译：素环中多线性多项式的导数组成

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Let K be a commutative ring with unity, R a prime K-algebra of characteristic different from 2, with extended centroid C, d and δ non-zero derivations of R,f(x_1,..,x_n) a multilinear polynomial over K, I a non-zero right ideal of R. If δ d(f(r_1,..,r_n))

机译：令K为一个具有1的交换环，R为一个特性特征不同于2的素数K代数，其中R，f（x_1，..，x_n）为K上的多元多项式的扩展质心C，d和δ非零导数。，我是R的非零右理想值。如果δd（f（r_1，..，r_n））

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来源
《Arabian Journal for Science and Engineering. Section A, Sciences》 |2008年第1a期|p.93-106|共14页
作者
V. De Filippis;
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作者单位

Dipartimento di Matematica Universitd di Messina Salita Sperone 31, 98166, Messina, Italy;

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收录信息美国《科学引文索引》(SCI);
原文格式 PDF
正文语种 eng
中图分类自然科学总论;
关键词
primerings; derivations; left utumi quotient rings; two-sided martindale quotient ring; differential identities;

机译：引物;推导;utumi商环;两侧马丁商环;差分恒等式;

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专利

1. Derivations vanishing on commutator identity involving generalized derivation on multilinear polynomials in prime rings [J] . Ashraf Mohammad, De Filippis Vincenzo, Pary Sajad Ahmad, Communications in algebra . 2019,第1a2期

机译：换乘器在换向器身份上消失，涉及在主要环中的多线性多项式上的广义推导
2. Derivations Vanishing Identities Involving Generalized Derivations and Multilinear Polynomial in Prime Rings [J] . Tiwari S. K., Sharma R. K. Mediterranean journal of mathematics . 2017,第5期

机译：衍生消失涉及推广衍生和素戒指的多线粒多项式的标识
3. VANISHING DERIVATIONS AND CO-CENTRALIZING GENERALIZED DERIVATIONS ON MULTILINEAR POLYNOMIALS IN PRIME RINGS [J] . Dhara Basudeb, Argac Nurcan, Albas Emine Communications in algebra . 2016,第5a6期

机译：素环中多线性多项式的消失族和集中广义族。
4. a-N-Derivations in Prime Near - Rings [C] . Enaam Farhan Adhab International Conference on Material Science, Smart Structures and Applications . 2019

机译：在近圆圈附近的A-N-衍生
5. Local Cohomology Modules Over Polynomial Rings Of Prime Characteristic. [D] . Zhang, Yi. 2012

机译：本征多项式环上的局部同调模块。
6. Two-Sided Annihilator Condition with Generalized Derivations on Multilinear Polynomials [O] . V. De Filippis, G. Scudo, L. Sorrenti 2014

机译：多线性多项式具有广义导数的两面歼灭条件
7. Generalized derivations acting on multilinear polynomials in prime rings [O] . Basudeb Dhara 2017

机译：在素环中的多线性多项式作用的广义衍生
8. Derivations of a Prime Ring Which Satisfy a Polynomial Identity. [R] . Jensen, D. W. 1983

机译：满足多项式同一性的素环的导子。

COMPOSITION OF DERIVATIONS ON MULTILINEAR POLYNOMIALS IN PRIME RINGS

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