Results 11 to 20 of about 918,603 (135)

L-Fuzzy Semiprime Ideals of a Poset

Advances in Fuzzy Systems, 2020
In this paper, we introduce the concept of L-fuzzy semiprime ideal in a general poset. Characterizations of L-fuzzy semiprime ideals in posets as well as characterizations of an L-fuzzy semiprime ideal to be L-fuzzy prime ideal are obtained.
Berhanu Assaye Alaba, Derso Abeje Engidaw   +1 more
doaj   +2 more sources

ON JORDAN IDEAL IN PRIME AND SEMIPRIME INVERSE SEMIRINGS WITH CENTRALIZER

Al-Mustansiriyah Journal of Science, 2020
In this paper we recall the definition of centralizer on inverse semiring. Also introduce the definition of Jordan ideal and Lie ideal. Some results of M.A.Joso Vukman on centralizers on semiprime rings are generalized here to inverse semirings.
Rawnaq Khaleel Ibraheem, Abdulrahman H. Majeed   +1 more
doaj   +2 more sources

Notes on Semiprime Ideals with Symmetric Bi-Derivation

Axioms
In this paper, we prove many algebraic identities that include symmetric bi-derivation in rings which contain a semiprime ideal. We intend to generalize previous results obtained for semiprime rings with symmetric derivation using semiprime ideals in ...
Ali Yahya Hummdi, Öznur Gölbaşı, Emine Koç Sögütcü, Nadeem ur Rehman   +3 more
doaj   +2 more sources

Commutativity results for semiprime rings with derivations [PDF]

International Journal of Mathematics and Mathematical Sciences, 1998
We extend a result of Herstein concerning a derivation d on a prime ring R satisfying [d(x),d(y)]=0 for all x,y∈R, to the case of semiprime rings. An extension of this result is proved for a two-sided ideal but is shown to be not true for a one-sided ...
Mohammad Nagy Daif
doaj   +2 more sources

A Note on Weakly Semiprime Ideals and Their Relationship to Prime Radical in Noncommutative Rings

Journal of Mathematics
In this paper, we introduce the concept of weakly semiprime ideals and weakly n-systems in noncommutative rings. We establish the equivalence between an ideal P being a weakly semiprime ideal and R−P being a weakly n-system.
Alaa Abouhalaka
doaj   +2 more sources

On Prime and Semiprime Rings with Symmetric Generalized Biderivations [PDF]

Al-Mustansiriyah Journal of Science, 2017
The propose of this paper is to present some results concerning the symmetric generalized Biderivations when their traces satisfies some certain conditions on an ideal of prime and semiprime rings.
Auday H. Mahmood, Dheaa K. Hussain K. Hussein   +1 more
doaj   +2 more sources

Commutativity with Derivations of Semiprime Rings [PDF]

Discussiones Mathematicae - General Algebra and Applications, 2020
Let R be a 2-torsion free semiprime ring with the centre Z(R), U be a non-zero ideal and d: R → R be a derivation mapping.
Atteya Mehsin Jabel
doaj   +2 more sources

Some Results of Prime And Semiprime Rings With Derivations

مجلة بغداد للعلوم, 2005
The main purpose of this paper is to study prime and semiprime rings admitting a derivation d satisfying new conditions when d acts as homomorphism on non-zero ideal.
doaj   +2 more sources

A note on semiprime rings with derivation [PDF]

International Journal of Mathematics and Mathematical Sciences, 1997
Let R be a 2-torsion free semiprime ring, I a nonzero ideal of R, Z the center of R and D:R→R a derivation. If d[x,y]+[x,y]∈Z or d[x,y]−[x,y]∈Z for all x, y∈I, then R is commutative.
Motoshi Hongan
doaj   +2 more sources

Dependent Elements of Derivations on Semiprime Rings [PDF]

International Journal of Mathematics and Mathematical Sciences, 2009
We characterize dependent elements of a commuting derivation d on a semiprime ring R and investigate a decomposition of R using dependent elements of d.
Faisal Ali, Muhammad Anwar Chaudhry
doaj   +2 more sources