Results 61 to 70 of about 4,079 (208)
Prime and semiprime submodules of $R^n$ and a related Nullstellensatz for $M_n(R)$ [PDF]
arXiv, 2021 Let $R$ be a commutative ring with $1$ and $n$ a natural number. We say that a submodule $N$ of $R^n$ is semiprime if for every $f=(f_1,\ldots,f_n) \in R^n$ such that $f_i f \in N$ for $i=1,\ldots,n$ we have $f \in N$. Our main result is that every semiprime submodule of $R^n$ is equal to the intersection of all prime submodules containing it.
arxiv
On Semiprime Gamma Near-Rings with Perpendicular Generalized 3-Derivations
Journal of Al-Qadisiyah for Computer Science and Mathematics, 2019 In this paper , we introduce the notion of perpendicular generalized 3-derivations in semiprime gamma near-rings and present several necessary and sufficient conditions for generalized 3-derivations on semiprime gamma near-rings to be perpendicular .
Ikram A. Saed
semanticscholar +1 more source
New Types of Fuzzy Interior Ideals of Ordered Semigroups Based on Fuzzy Points [PDF]
Matrix Science Mathematic, 2017 Subscribing to the Zadeh’s idea on fuzzy sets, many researchers strive to identify the key attributes of these sets for new finding in mathematics. In this perspective, new types of fuzzy interior ideals called (∈, ∈ ∨qk)-fuzzy interior ideals of ordered
Faiz Muhammad Khan +3 more
doaj +1 more source
On Commutativity of Prime and Semiprime - Rings with Reverse Derivations
Iraqi Journal of Science, 2019 Let M be a weak Nobusawa -ring and γ be a non-zero element of Γ. In this paper, we introduce concept of k-reverse derivation, Jordan k-reverse derivation, generalized k-reverse derivation, and Jordan generalized k-reverse derivation of Γ-ring, and γ ...
S. A. Hamil, A. Majeed
semanticscholar +1 more source
Eta-quotients of prime or semiprime level and elliptic curves [PDF]
Involve. A Journal of Mathematics, 2019 From the Modularity Theorem proven by Wiles, Taylor, et al, we know that all elliptic curves are modular. It has been shown by Martin and Ono exactly which are represented by eta-quotients, and some examples of elliptic curves represented by modular ...
Michael Allen +4 more
semanticscholar +1 more source
Diophantine equations in semiprimes
arXiv: Number Theory, 2017 A semiprime is a natural number which is the product of two (not necessarily distinct) prime numbers. Let $F(x_1, \ldots, x_n)$ be a degree $d$ homogeneous form with integer coefficients. We provide sufficient conditions, similar to those of the seminal work of B. J.
openaire +4 more sources
SEMIPRIME AND NILPOTENT FUZZY LIE ALGEBRAS
Journal of New Theory, 2016 – In this paper, we have introduced the concept of semiprime fuzzy Lie algebra and proved that every fuzzy Lie algebra of semiprime (nilpotent) Lie algebra is a semiprime (nilpotent)
Nour Alhouda Alhayek, Samer Sukkary
doaj
Classical quotient rings of generalized matrix rings
International Journal of Mathematics and Mathematical Sciences, 1995 An associative ring R with identity is a generalized matrix ring with idempotent set E if E is a finite set of orthogonal idempotents of R whose sum is 1.
David G. Poole, Patrick N. Stewart
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Prime Structures in a Morita Context [PDF]
Bol. Soc. Mat. Mex. 26, 991-1001 (2020), 2018 In this paper, we study on the primeness and semiprimeness of a Morita context related to the rings and modules. Necessary and sufficient conditions are investigated for an ideal of a Morita context to be a prime ideal and a semiprime ideal. In particular, we determine the conditions under which a Morita context is prime and semiprime.
arxiv +1 more source
Remarks on derivations on semiprime rings [PDF]
International Journal of Mathematics and Mathematical Sciences, 1991 We prove that a semiprime ring R must be commutative if it admits a derivation d such that (i) xy + d(xy) = yx + d(yx) for all x, y in R, or (ii) xy − d(xy) = yx − d(yx) for all x, y in R. In the event that R is prime, (i) or (ii) need only be assumed for all x, y in some nonzero ideal of R.
Mohamad Nagy Daif, Howard E. Bell
openaire +2 more sources