Results 101 to 110 of about 1,324,184 (168)

On the structure of semiprime rings [PDF]

open access: yesProceedings of the American Mathematical Society, 1973
The structure of prime rings has recently been studied by A. W. Goldie, R. E. Johnson, L. Lesieur and R. Croisot. In their main results some sort of finiteness assumption is invariably made. It is shown in this paper that certain semiprime rings are subdirect sums of full rings of linear transformations of a right vector space over
openaire   +1 more source

Fuzzy bipolar soft semiprime ideals in ordered semigroups. [PDF]

open access: yesHeliyon, 2021
Aziz-Ul-Hakim, Khan H, Ahmad I, Khan A.
europepmc   +1 more source

The hulls of semiprime rings [PDF]

open access: yesBulletin of the Australian Mathematical Society, 1975
Each semiprime ring admits a unique projectable, strongly projectable, laterally complete and orthocomplete hull. Almost all of the theory for X–hulls of lattice-ordered groups in Paul Conrad, “The hulls of representable l-groups and f-rings”, J. Austral. Math. Soc. 16 (1973), 385–415, has a counterpart for semiprime rings.
openaire   +3 more sources

Notes on (α,β)-derivations

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1997
Let R be a prime ring of characteristic not 2, U a nonzero ideal of R and 0≠da(α,β)-derivation of R where α and β are automorphisms of R. i) [d(U),a]=0 then a∈Z ii) For a,b∈R, the following conditions are equivalent (I) α(a)d(x)=d(x)β(b), for all x∈U ...
Neşet Aydin
doaj   +1 more source

Semiprime FDI-rings [PDF]

open access: yesJournal of Applied Mathematics and Computational Mechanics, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +3 more sources

A remark on prime ideals

open access: yesExtracta Mathematicae, 2020
If M is a torsion-free module over an integral domain, then we show that for each submodule N of M the envelope EM (N ) of N in M is an essential extension of N. In particular, if N is divisible then EM (N ) = N .
S.C. Lee, R. Varmazyar
doaj  

Derivations on semiprime rings [PDF]

open access: yesBulletin of the Australian Mathematical Society, 1996
The main result: Let R be a 2-torson free semiprime ring and let D: R → R be a derivation. Suppose that [[D(x), x], x] = 0 holds for all x ∈ R. In this case [D(x), x] = 0 holds for all x ∈ R.
openaire   +1 more source

A Some Results on Double Cenralizer for Prime and Semiprime Г- rings

open access: yesIbn Al-Haitham Journal for Pure and Applied Sciences
             The goal of this work, is to examine the concept of a double centralizer, and double Jordan centralizer on prime and semiprime Г-rings, this is done by studying examples, remarks and results related to that concepts and looking for the ...
Aya Hussein   +3 more
doaj   +1 more source

Derivations of higher order in semiprime rings

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1998
Let R be a 2-torsion free semiprime ring with derivation d. Supposed d2n is a derivation of R, where n is a positive integer. It is shown that if R is (4n−2)-torsion free or if R is an inner derivation of R, then d2n−1=0.
Jiang Luh, Youpei Ye
doaj   +1 more source

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