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A new method for a priori practical identifiability. [PDF]
PLoS OneThompson P +3 more
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Selective Scission of Orthogonal Bonds in Four-Membered Ring Mechanophores upon Activation by a Rotaxane Actuator. [PDF]
Angew Chem Int Ed EnglChen L, De Bo G.
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Prime z-Ideal Rings (pz-Rings)
Bulletin of the Iranian Mathematical Society, 2021An ideal \(I\) of a ring \(R\) is called \(z\)-ideal if for each \(a\in I\), the intersection of all maximal ideals of \(R\) which contains \(a\), is contained in \(I\). A ring \(R\) is called \(pz\)-ring, if each prime ideal of \(R\) is a \(z\)-ideal.
Aliabad, Ali R., Mohamadian, Rostam
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Journal of Algebra and Its Applications, 2009
In this paper we characterize *-prime group rings. We prove that the group ring RG of the group G over the ring R is *-prime if and only if R is *-prime and Λ+(G) = (1). In the process we obtain more examples of group rings which are *-prime but not strongly prime.
Joshi, Kanchan +2 more
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In this paper we characterize *-prime group rings. We prove that the group ring RG of the group G over the ring R is *-prime if and only if R is *-prime and Λ+(G) = (1). In the process we obtain more examples of group rings which are *-prime but not strongly prime.
Joshi, Kanchan +2 more
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Canadian Mathematical Bulletin, 1983
AbstractLet R be a prime ring and d≠0 a derivation of R. We examine the relationship between the structure of R and that of d(R). We prove that if R is an algebra over a commutative ring A such that d(R) is a finitely generated submodule then R is an order in a simple algebra finite dimensional over its center.
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AbstractLet R be a prime ring and d≠0 a derivation of R. We examine the relationship between the structure of R and that of d(R). We prove that if R is an algebra over a commutative ring A such that d(R) is a finitely generated submodule then R is an order in a simple algebra finite dimensional over its center.
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Communications in Algebra, 1994
The structure of rings all of whose ideals are prime is studied and several examples of such rings are constructed.
William D. Blair, Hisaya Tsutsui
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The structure of rings all of whose ideals are prime is studied and several examples of such rings are constructed.
William D. Blair, Hisaya Tsutsui
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Existentially Complete Prime Rings
Journal of the London Mathematical Society, 1983The author describes properties of existentially closed (e.c.) prime rings. A ring R is prime iff for all a,\(b\in R aRb=\{0\}\) implies \(a=0\) or \(b=0\). He shows that e.c. prime rings can be represented as rings of linear transformations. The center K of R is the prime subfield of R, R has (regarded as vector space over K) infinite dimension and is
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Skew Derivations of Prime Rings
Siberian Mathematical Journal, 2006Summary: Given a prime ring \(R\), a skew \(g\)-derivation for \(g\colon R\to R\) is an additive map \(f\colon R\to R\) such that \(f(xy)=f(x)g(y)+xf(y)=f(x)y+g(x)f(y)\) and \(f(g(x))=g(f(x))\) for all \(x,y\in R\). We generalize some properties of prime rings with derivations to the class of prime rings with skew derivations.
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