Results 71 to 80 of about 4,246 (183)
KARAKTERISTRIK DARI SEMIGRUPYANG SETIAPBI-IDEALNYAPRIME KUAT
Jurnal Pijar MIPA (Pengkajian Ilmu dan Pengajaran Matematika dan Ilmu Pengetahuan Alam), 2009 Abstrak. Dalam tulisan ini akan dibahas tentang hubungan antara bi-ideal prime kuat, bi-ideal prime, bi-ideal semiprime, bi-ideal tak terreduksi kuat, dan bi-ideal tak terreduksi dari semigrup.
Nani Kurniati
doaj +1 more source
Journal of Physics: Conference Series, 2021 Abstract Let R be a commutative ring with an identity, and G be a unitary R-module. We say that an R-module G is small semiprime if (0 G ) is small Semiprime submodule of G. Equivalently, an R-module G is small semiprime iff ann ρ= vÄP for each proper small submodule ρ of G.
Haider A. Ramadhan +1 more
openaire +2 more sources
A Study of Generalized Differential Identities via Prime Ideals
Journal of Mathematics, Volume 2025, Issue 1, 2025.Let R be a ring and P be a prime ideal of R. The aim of this research paper is to delve into the relationship between the structural properties of the quotient ring R/P and the behavior of generalized derivations in a ring R endowed with an involution.
Ali Yahya Hummdi +4 more
wiley +1 more source
Notes on Semiprime Ideals with Symmetric Bi-Derivation
AxiomsIn 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 +3 more
doaj +1 more source
Quantum solvable algebras. Ideals and representations at roots of 1
, 2002 There studed correspondence between symplectic leaves, irreducible representations and prime ideals, which is invariant with respect to quantum adjoint action.
Panov, A. N.
core +2 more sources
Modules With Epimorphisms Between Their Submodules
Journal of Mathematics, Volume 2025, Issue 1, 2025.An R‐module M is called weakly uniserial if its submodules are comparable regarding embedding, i.e., if for any two submodules N, K of M, HomR(N, K) or HomR(K, N) contains an injective element. Here, we are interested in studying modules which for any two submodules of them there is an epimorphism from one to the other.
P. Karimi Beiranvand, Pramita Mishra
wiley +1 more source
On graded weakly $ J_{gr} $-semiprime submodules
AIMS MathematicsLet $ \Gamma $ be a group, $ \mathcal{A} $ be a $ \Gamma $-graded commutative ring with unity $ 1, $ and $ \mathcal{D} $ a graded $ \mathcal{A} $-module.
Malak Alnimer +2 more
doaj +1 more source
On the notion of 'retractable modules' in the context of algebras [PDF]
, 2014 This is a survey on the usage of the module theoretic notion of a "retractable module" in the study of algebras with actions. We explain how classical results can be interpreted using module theory and end the paper with some open questions.Comment ...
Lomp, Christian
core +1 more source
Higher Derivations Satisfying Certain Identities in Rings
Journal of Mathematics, Volume 2024, Issue 1, 2024.Let n and m be fixed positive integers. In this paper, we establish some structural properties of prime rings equipped with higher derivations. Motivated by the works of Herstein and Bell‐Daif, we characterize rings with higher derivations D=dii∈N satisfying (i) dnx,dmy∈ZR for all x,y∈R and (ii) dnx,y∈ZR for all x,y∈R.
Amal S. Alali +4 more
wiley +1 more source
On Additivity and Multiplicativity of Centrally Extended (α, β)‐Higher Derivations in Rings
International Journal of Mathematics and Mathematical Sciences, Volume 2024, Issue 1, 2024.In this paper, the concept of centrally extended (α, β)‐higher derivations is studied. It is shown to be additive in a ring without nonzero central ideals. Also, we prove that in semiprime rings with no nonzero central ideals, every centrally extended (α, β)‐higher derivation is an (α, β)‐higher derivation.
O. H. Ezzat, Attila Gil nyi
wiley +1 more source