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Screening for novel chemical scaffolds targeting PCNA identifies the Hsp90alpha inhibitor SNX-2112. [PDF]
Jossart J +10 more
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Crystal structure analysis of oxygen-induced degradation occurring in rsCherry. [PDF]
Bui TYH +3 more
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Willingness of Pharmacists to Prescribe Medication Abortion in California.
Cohen C +7 more
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The McCoy Condition on Skew Polynomial Rings
Based on a theorem of McCoy on commutative rings, Nielsen called a ring R right McCoy if, for any nonzero polynomials f(x), g(x) over R, f(x)g(x) = 0 implies f(x)r = 0 for some 0 ≠ r ∊ R. In this note, we consider a skew version of these rings, called σ-skew McCoy rings, with respect to a ring endomorphism σ.
Muhittin Baser +2 more
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Communications in Algebra, 2019
AbstractA ring R with an endomorphism σ is called σ-skew McCoy, if for any zero-divisor f(x) in the skew polynomial ring R[x; σ], there exists a nonzero element c∈R with f(x)c = 0. In this note, we show that there exists a ring R and an endomorphism σ such that the matrix ring M2(R) is σ-skew McCoy. This gives a negative answer to the question posed in
Masoome Zahiri, A Moussavi
exaly +2 more sources
AbstractA ring R with an endomorphism σ is called σ-skew McCoy, if for any zero-divisor f(x) in the skew polynomial ring R[x; σ], there exists a nonzero element c∈R with f(x)c = 0. In this note, we show that there exists a ring R and an endomorphism σ such that the matrix ring M2(R) is σ-skew McCoy. This gives a negative answer to the question posed in
Masoome Zahiri, A Moussavi
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The McCoy Condition on Noncommutative Rings
Communications in Algebra, 2011McCoy proved in 1957 [12] that if a polynomial annihilates an ideal of polynomials over any ring then the ideal has a nonzero annihilator in the base ring. We first elaborate this McCoy's famous theorem further, expanding the inductive construction in the proof given by McCoy. From the proof we can naturally find nonzero c, with f(x)c = 0, in the ideal
Chan Yong Hong, , Yang Lee
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On Rings Having McCoy-Like Conditions
Communications in Algebra, 2012In [41], Nielsen proves that all reversible rings are McCoy and gives an example of a semicommutative ring that is not right McCoy. At the same time, he also shows that semicommutative rings do have a property close to the McCoy condition. In this article we study weak McCoy rings as a common generalization of McCoy rings and weak Armendariz rings ...
Abdollah Alhevaz, A Moussavi
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Extensions of Rings Having McCoy Condition
AbstractLet R be an associative ring with unity. Then R is said to be a right McCoy ring when the equation f (x)g(x) = 0 (over R[x]), where 0 ≠ f (x), g(x) ∈ R[x], implies that there exists a nonzero element c ∈ R such that f (x)c = 0. In this paper, we characterize some basic ring extensions of right McCoy rings and we prove that if R is a right McCoy
Kosan, MUHAMMET TAMER
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