Results 11 to 20 of about 288 (227)
Ingeniería y Ciencia, 2020 In this paper we present a survey of some algebraic characterizations of Hilbert’s Nullstellensatz for non-commutative rings of polynomial type. Using several results established in the literature, we obtain a version of this theorem for the skew ...
Armando Reyes +1 more
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A Note on Primitivity of Ideals in Skew Polynomial Rings of Automorphism Type
International Journal of Mathematics and Mathematical Sciences, 2016 We extend results about primitive ideals in polynomial rings over nil rings originally proved by Smoktunowicz (2005) for σ-primitive ideals in skew polynomial rings of automorphism type.
Edilson Soares Miranda
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Skew Polynomial Extensions over Zip Rings
International Journal of Mathematics and Mathematical Sciences, 2008 In this article, we study the relationship between left (right) zip property of 𝑅 and skew polynomial extension over 𝑅, using the skew versions of Armendariz rings.
Wagner Cortes
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Derivations of skew polynomial rings
Publications de l'Institut Mathematique, 2002 Let \(R\) be a commutative ring of characteristic zero, \(d_1,d_2,\dots,d_n\) commuting derivations of \(R\), and \(A_n=R[X_1,X_2,\dots,X_n;d_1,d_2,\dots,d_n]\) a skew polynomial ring in commuting variables \(X_1,X_2,\dots,X_n\) over \(R\). The authors describe derivations of \(A_n\) and examine the lattice of its ideals, under certain conditions.
Hamaguchi, Naoki, Nakajima, Atsushi
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On the Semisimplicity of Skew Polynomial Rings [PDF]
Proceedings of the American Mathematical Society, 1984 Let R R be a ring satisfying the maximal condition on annihilator left ideals and σ \sigma be an automorphism of R R . We show that the Jacobson radical of the skew polynomial ring R σ [ x ] {R_\sigma }[x ...
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Some homological properties of skew PBW extensions arising in non-commutative algebraic geometry
Discussiones Mathematicae - General Algebra and Applications, 2017 In this short paper we study for the skew PBW (Poincar-Birkhoff-Witt) extensions some homological properties arising in non-commutative algebraic geometry, namely, Auslander-Gorenstein regularity, Cohen-Macaulayness and strongly noetherianity.
Lezama Oswaldo
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Derivations of Skew Polynomial Rings
Journal of Algebra, 1995 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Osborn, J.M., Passman, D.S.
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ON COEFFICIENTS OF NILPOTENT POLYNOMIALS IN SKEW POLYNOMIAL RINGS [PDF]
Korean Journal of Mathematics, 2013 Summary: We observe the basic structure of the products of coefficients of nilpotent (left) polynomials in skew polynomial rings. This study consists of a process to extend a well-known result for semi-Armendariz rings. We introduce the concept of \(\alpha \)-skew \(n\)-semi-Armendariz ring, where \(\alpha\) is a ring endomorphism. We prove that a ring
Nam, Sang Bok +2 more
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Prime ideals of skew polynomial rings and skew Laurent polynomial rings
Mathematical Journal of Okayama University, 1990 Let \(S=R[X,X^{-1};\rho]\) be a skew Laurent polynomial ring over a ring \(R\) with automorphism \(\rho\). The authors characterize those prime ideals \(P\) of \(S\) with \(P\cap R=0\) in terms of irreducible polynomials over the centre of \(Q[X,X^{-1};\rho]\), where \(Q\) is the right Martindale quotient of \(R\) with respect to the filter of non-zero
Cisneros, Eduardo +2 more
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Generalized Skew Polynomial Rings [PDF]
Transactions of the American Mathematical Society, 1982 For a totally ordered cancellative semigroup Γ \Gamma
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