Results 201 to 210 of about 288 (227)
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Nilpotent Elements and Skew Polynomial Rings
Algebra Colloquium, 2012We study the structure of the set of nilpotent elements in extended semicommutative rings and introduce nil α-semicommutative rings as a generalization. We resolve the structure of nil α-semicommutative rings and obtain various necessary or sufficient conditions for a ring to be nil α-semicommutative, unifying and generalizing a number of known ...
Alhevaz, A., Moussavi, A., Hashemi, E.
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ON WEAK ZIP SKEW POLYNOMIAL RINGS
Asian-European Journal of Mathematics, 2012We introduce the notion of nil(α, δ)-compatible rings which is a generalization of reduced rings and (α, δ)-compatible rings. In [Ore extensions of weak zip rings, Glasgow Math. J.51 (2009) 525–537] Ouyang introduces the notion of right (respectively, left) weak zip rings and proved that, a ring R is right (respectively, left) weak zip if and only if ...
Mohammadi, R., Moussavi, A., Zahiri, M.
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Descriptions of radicals of skew polynomial and skew Laurent polynomial rings
Journal of Pure and Applied Algebra, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hong, Chan Yong, Kim, Nam Kyun
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Distributive skew Laurent polynomial rings
Journal of Mathematical Sciences, 2012zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Asian-European Journal of Mathematics
A ring [Formula: see text] with an automorphism [Formula: see text] and a [Formula: see text]-derivation [Formula: see text] is called [Formula: see text]-[Formula: see text]-Baer (respectively [Formula: see text]-Baer) if the right annihilator of every projection invariant [Formula: see text]-left ideal (respectively left ideal) of [Formula: see text]
Somaye Mehralinejadian +2 more
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A ring [Formula: see text] with an automorphism [Formula: see text] and a [Formula: see text]-derivation [Formula: see text] is called [Formula: see text]-[Formula: see text]-Baer (respectively [Formula: see text]-Baer) if the right annihilator of every projection invariant [Formula: see text]-left ideal (respectively left ideal) of [Formula: see text]
Somaye Mehralinejadian +2 more
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Canonical forms of skew polynomial rings
Journal of Mathematical Sciences, 2005zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Skew polynomial rings and skew power series rings
1978Thesis (Ph.D.) - La Trobe University, 1978.; Submitted to the Dept. of Pure Mathematics.
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Separable polynomials in skew polynomials rings
2019Separable polynomials in skew polynomial rings have already been studied by K. Kishimoto, T. Nagahara, Y. Miyashita, S. Ikehata, and G. Szeto. In particular, Nagaraha gave the necessary and sufficient condition for Galois polynomial of degree 2 in the skew polynomial ring of derivation type. In this paper, we shall introduce some fundamental results of
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Radicals of Skew Polynomial and Skew Laurent Polynomial Rings Over Skew Armendariz Rings
Communications in Algebra, 2014A R Nasr-Isfahani
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SKEW LAURENT POLYNOMIAL EXTENSIONS OF BAER AND P.P.-RINGS
Bulletin of the Korean Mathematical Society, 2009A R Nasr-Isfahani, A Moussavi
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