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A note on Jordan left *-centralizers on prime and semiprime rings with involution
Journal of Taibah University for Science, 2017 The aim of this note is to give alternative and short proofs for some results to Ali et al. in [3] by using the relationship between the concepts of Jordan left *-centralizer and right centralizer on a 2-torsion free semiprime rings endowed with ...
M.S. Tammam El-Sayiad +2 more
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On the commutativity of torsion free rings [PDF]
Bulletin of the Australian Mathematical Society, 1984 If R is (n(n−1)/2)-torsion free ring with 1 and satisfies the identity (xy)n = xnyn, then R is commutative provided that n = 4k.
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Torsion-free Abelian groups torsion over their endomorphism rings [PDF]
Bulletin of the Australian Mathematical Society, 1994 We use a variation on a construction due to Corner 1965 to construct (Abelian) groups A that are torsion as modules over the ring End (A) of group endomorphisms of A. Some applications include the failure of the Baer-Kaplansky Theorem for Z[X]. There is a countable reduced torsion-free group A such that IA = A for each maximal ideal I in the countable ...
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On commutativity theorems for rings
International Journal of Mathematics and Mathematical Sciences, 1990 Let R be an associative ring with unity. It is proved that if R satisfies the polynomial identity [xny−ymxn,x]=0(m>1,n≥1), then R is commutative. Two or more related results are also obtained.
H. A. S. Abujabal, M. S. Khan
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3β,5α,6β-Trihydroxyandrostan-17-one
Acta Crystallographica Section E, 2011 The title compound, C19H30O4, is an androstan-17-one derivative synthesized from the dehydroepiandrosterone through a sequential addition of an oxidant, followed by a trans-diaxial opening of the epoxide generated, with Bi(OTf)3 (OTf is ...
L.C.R. Andrade +4 more
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On Finite-Dimensional Torsion-Free Modules and Rings [PDF]
Proceedings of the American Mathematical Society, 1970 1. This note is concerned primarily with a study of modules having zero singular submodule, called torsion-free modules, over finitedimensional rings. In some of our results we do not require that the ring be finite-dimensional but only that direct sums of torsion-free injective modules be injective, a property shown by Mark Teply to be equivalent to ...
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FEBS Open Bio, EarlyView.Evolutionary analysis across 32 placental mammals identified positive selection at residues H148 and W149 in the immune receptor FcγR1. Ancestral reconstruction combined with molecular dynamics simulations reveals how these mutations may influence receptor structure and dynamics, providing insight into the evolution of antibody recognition and immune ...
David A. Young +7 more
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Another Proof of Levitzki’s Theorem for Prime Rings and Application to k-skew Commuting Property
AxiomsIn this paper, we provide another proof of Levitzki’s theorem for prime rings with k!-torsion-free using the Vandermonde determinant, which states that a prime ring contains no nonzero nilpotent left or right ideal.
Yazhou Zhang
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A note on derivations in semiprime rings
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
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Torsion-Free Abelian Semigroup Rings X
Mathematical journal of Ibaraki University, 1978 This is a continuation of the previous part VII in this series [ibid. 23, 1-8 (1991; Zbl 0756.13012)]. This paper concerns properties of a semigroup ring \(A[X;S]\) of a commutative semigroup \(S\) over a commutative ring \(A\). The first part generalizes and solves some problems of Karpilovsky about the unit group of \(A[X;S]\).
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