Results 91 to 100 of about 97,313 (257)
Unitary Invertible Graphs of Finite Rings
Discussiones Mathematicae - General Algebra and Applications, 2021 Let R be a finite commutative ring with unity. In this paper, we consider set of additive and mutual additive inverses of group units of R and obtain interrelations between them.
Chalapathi Tekuri, Sajana Shaik
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Alcohol, Clinical and Experimental Research, EarlyView.This study shows that chronic alcohol exposure leads to sex‐specific disruptions in local field potentials, specifically causing changes to amygdala oscillations in females and prefrontal cortical and nucleus accumbens oscillations in males. These data may explain some of the sex differences observed in alcohol misuse and provide potential biomarkers ...
Kelly A. Hewitt +4 more
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Stability in Commutative Rings
TURKISH JOURNAL OF MATHEMATICS, 2020 Let R be a commutative ring with zero-divisors and I an ideal of R. I is said to be ES-stable if JI = I 2 for some invertible ideal J ⊆ I , and I is said to be a weakly ES-stable ideal if there is an invertible fractional ideal J and an idempotent fractional ideal E of R such that I = JE .
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A result of commutativity of rings [PDF]
International Journal of Mathematics and Mathematical Sciences, 1991 In this paper we prove the following:THEOREM. Let n > 1 and m be fixed relatively prime positive integers and k is any non‐negative integer. If R is a ring with unity 1 satisfying xk[xn, y] = [x, ym] for all x, y ∈ R then R is commutative.
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Development of a preclinical testing platform for clinically relevant therapy for Dravet syndrome
Epilepsia, EarlyView.Abstract Objective Patients with drug‐resistant epilepsy, including Dravet syndrome, are frequently prescribed multiple antiseizure medications. Nevertheless, people with Dravet syndrome often have inadequate seizure control, and there is an ongoing unmet clinical need to identify novel therapeutics.
Jeffrey A. Mensah +7 more
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Spectra of subrings of cohomology generated by characteristic classes for fusion systems
Bulletin of the London Mathematical Society, EarlyView.Abstract If F$\mathcal {F}$ is a saturated fusion system on a finite p$p$‐group S$S$, we define the Chern subring Ch(F)${\operatorname{Ch}}(\mathcal {F})$ of F$\mathcal {F}$ to be the subring of H∗(S;Fp)$H^*(S;{\mathbb {F}}_p)$ generated by Chern classes of F$\mathcal {F}$‐stable representations of S$S$. We show that Ch(F)${\operatorname{Ch}}(\mathcal {
Ian J. Leary, Jason Semeraro
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Pythagorean fuzzy nil radical of Pythagorean fuzzy ideal
Boletim da Sociedade Paranaense de MatemáticaIn this work, we introduce the Pythagorean fuzzy nil radical of a Pythagorean fuzzy ideal of a commutative ring, we further provide the notion of Pythagorean fuzzy semiprime ideal, and we study some related properties.
Idris Bachadach +3 more
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Commutative morphic rings of stable range 2
Pracì Mìžnarodnogo Geometričnogo Centru, 2020 It is know that a left quasi-morphic ring R is a ring of stable range 1 if and only if dim R = 0. In this paper it is shown that a commutative morphic ring R is a ring of stable range 2 if and only if dimR= 1.
Oksana Pihura, Bohdan Zabavsky
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On the injective dimension of unit Cartier and unit Frobenius modules
Bulletin of the London Mathematical Society, EarlyView.Abstract Let R$R$ be a regular F$F$‐finite ring of prime characteristic p$p$. We prove that the injective dimension of every unit Frobenius module M$M$ in the category of unit Frobenius modules is at most dim(SuppR(M))+1$\dim (\operatorname{Supp}_R(M))+1$.
Manuel Blickle +3 more
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On commutativity of P.I. rings
Aequationes Mathematicae, 1983 Let F be a commutative ring, F(X, Y) the ring of polynomials over F in two noncommuting indeterminates, and F[X, Y] the ring of polynomials in two commuting indeterminates. Consider the family of polynomials in F(X, Y) which have trivial image under the natural F-algebra homomorphism from F(X, Y) to F[X, Y].
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