Results 281 to 290 of about 17,177 (306)

Prime Ideals in Ring Extensions

Journal of the London Mathematical Society, 1983
It is proved that if B is a (left and right) Noetherian ring, A a Noetherian subring of B and P a prime ideal of B then there is a naturally arising finite set X of prime ideals of A, containing the primes minimal over \(A\cap P\) and there are positive integers z(Q) (\(Q\in X)\) such that \[ rank(B/P)=\sum_{Q\in X}z(Q)rank(A/Q) \] where ''rank'' means
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Derivations in prime rings.

2000
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CONSTANTS OF DERIVATIONS OF PRIME RINGS

Mathematics of the USSR-Izvestiya, 1982
A Galois correspondence theorem is proved for any finite-dimensional Lie -algebra of outer derivations of a prime ring of positive characteristic. A theorem is proved on the existence of a locally finite ideal, in the sense of Sirsov, over the ring of constants of such a Lie -algebra. Extension and rigidity theorems are also obtained.
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On the Prime Ideals in a Commutative Ring

Canadian Mathematical Bulletin, 2000
AbstractIf n and m are positive integers, necessary and sufficient conditions are given for the existence of a finite commutative ring R with exactly n elements and exactly m prime ideals. Next, assuming the Axiom of Choice, it is proved that if R is a commutative ring and T is a commutative R-algebra which is generated by a set I, then each chain of ...
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2-PRIME IDEALS AND 2-PRIME RINGS

JP Journal of Algebra, Number Theory and Applications, 2021
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ON DERIVATIONALLY PRIME RINGS

Russian Mathematical Surveys, 1980
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Some generalized identities on prime rings and their application for the solution of annihilating and centralizing problems

Quaestiones Mathematicae, 2022
Balchand Prajapati, Vincenzo de Filippis   +1 more
exaly  

Characterization of Lie Derivations on Prime Rings

Communications in Algebra, 2011
Jinchuan Hou, Xiaofei Qi
exaly  

Semigroup Ideals and Commutativity in 3-prime Near Rings

Communications in Algebra, 2015
Lahcen Oukhtite, A Boua, H E Bell
exaly  

On functional identities in left ideals of prime rings

Communications in Algebra, 2000
K I Beidar, M A Chebotar, S C Chang
exaly