Results 331 to 340 of about 44,957 (356)

Semiderivations and Commutativity in Prime Rings

Canadian Mathematical Bulletin, 1988
AbstractA semiderivation of a ring R is an additive mapping f:R → R together with a function g:R → R such that f(xy) = f(x)g(y) + xf(y) = f(x)y + g(x)f(y) and f(g(x) ) = g(f(x)) for all x, y ∊ R. Motivating examples are derivations and mappings of the form x → x — g(x), g a ring endomorphism.
Bell, H. E., Martindale, W. S. III
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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.
openaire   +1 more source

Derivations in prime rings.

2000
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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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
openaire   +2 more sources

Structure of a quotient ring $$\pmb {R/P}$$ with generalized derivations acting on the prime ideal P and some applications

Indian Journal of Pure and Applied Mathematics, 2021
L Oukhtite
exaly  

2-PRIME IDEALS AND 2-PRIME RINGS

JP Journal of Algebra, Number Theory and Applications, 2021
openaire   +2 more sources

ON DERIVATIONALLY PRIME RINGS

Russian Mathematical Surveys, 1980
openaire   +2 more sources

Prime intersection graph of ideals of a ring

Proceedings of the Indian Academy of Sciences: Mathematical Sciences, 2020
Kukil Kalpa Rajkhowa, Helen K Saikia, Saikia Helen K   +2 more
exaly  

Fuzzy prime ideals of a ring

Fuzzy Sets and Systems, 1990
John N Mordeson
exaly  

The Patch Topology and the Ultrafilter Topology on the Prime Spectrum of a Commutative Ring

Communications in Algebra, 2008
Marco FONTANA, K Alan Loper
exaly