Results 11 to 20 of about 4,079 (208)
Semiprime Novikov algebras [PDF]
International Journal of Algebra and Computation, 2022 . We study prime and semiprime Novikov algebras. We prove that prime nonassociative Novikov algebra has zero nucleus and center. It is well known that an ideal of an alternative (semi)prime algebra is (semi)prime algebra.
A. Panasenko
semanticscholar +3 more sources
On -Quasi-Semiprime Submodules [PDF]
The Eurasia Proceedings of Science Technology Engineering and Mathematics, 2021 Let G be a group. A ring R is called a graded ring (or G-graded ring) if there exist additive subgroups Rα of R indexed by the elements α∈G such that R=⊕α∈GRαand RαRβ⊆Rαβ for all α, β∈G.
K. Al-Zoubi, Shatha Alghueiri
semanticscholar +4 more sources
On Centrally Semiprime Rings and Centrally Semiprime [PDF]
Kirkuk Journal of Science, 2008 In this paper, two new algebraic structures are introduced which we call a centrally semiprime ring and a centrally semiprime right near-ring, and we look for those conditions which make centrally semiprime rings as commutative rings, so that several ...
Adil Kadir Jabbar +1 more
doaj +2 more sources
On (m, n)-semiprime submodules [PDF]
Proceedings of the Estonian Academy of Sciences, 2021 This paper aims to introduce a new class of submodules, called (m, n)-semiprime submodule, which is a generalization of semiprime submodule. Let M be a unital A-module and m, n â N.
Ayten Pekin +2 more
doaj +4 more sources
Attacking cryptosystems by means of virus machines. [PDF]
Sci Rep, 2023 The security that resides in the public-key cryptosystems relies on the presumed computational hardness of mathematical problems behind the systems themselves (e.g.
Pérez-Jiménez MJ +2 more
europepmc +2 more sources
A note on derivations in semiprime rings [PDF]
International Journal of Mathematics and Mathematical Sciences, 2005 We prove in this note the following result. Let n>1 be an integer and let R be an n!-torsion-free semiprime ring with identity element. Suppose that there exists an additive mapping D:R→R such that D(xn)=∑j=1nxn−jD(x)xj−1 is fulfilled for all x∈R.
Joso Vukman, Irena Kosi-Ulbl
doaj +2 more sources
On the counting function of semiprimes [PDF]
arXiv, 2020 A semiprime is a natural number which can be written as the product of two primes. The asymptotic behaviour of the function $\pi_2(x)$, the number of semiprimes less than or equal to $x$, is studied. Using a combinatorial argument, asymptotic series of $\pi_2(x)$ is determined, with all the terms explicitly given.
Crişan, D, Erban, R
arxiv +4 more sources
A note on power values of derivation in prime and semiprime rings [PDF]
arXiv, 2014 Let R be a ring with derivation d, such that (d(xy))^n =(d(x))^n(d(y))^n for all x,y in R and n>1 is a fixed integer. In this paper, we show that if R is a prime, then d = 0 or R is a commutative. If R is a semiprime, then d maps R in to its center. Moreover, in semiprime case let A = O(R) be the orthogonal completion of R and B = B(C) be the Boolian ...
Shervin Sahebi, Venus Rahmani
arxiv +3 more sources
On the Structure of Semiprime Rings [PDF]
Proceedings 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 a division ring.
Augusto H. Ortiz
openalex +2 more sources
Generalized roughness of three dimensional ( ∈ , ∈ ∨ q )-fuzzy ideals in terms of set-valued homomorphism. [PDF]
Sci RepThe objective of this study is to generalize the roughness of a fuzzy set-in three-dimensional structure by introducing ternary multiplication. Many results and theorems of rough fuzzy ideals have been extended from semigroup and semiring, to ternary ...
Bashir S +5 more
europepmc +2 more sources