Results 11 to 20 of about 315,833 (178)
Syzygies and the Rees algebra [PDF]
Journal of Pure and Applied Algebra, 2008 Let \(R\) be a standard graded polynomial ring in two variables and let \(I=(a,b,c)\) where \(a,b\) and \(c\) are linearly independent homogeneous polynomials with the same degree \(d\). Let \(\text{Rees} (I) = R \oplus I \oplus I^2 \oplus I^3 \oplus \cdots \) be the Rees algebra of \(I\).
Haohao Wang
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The moving curve ideal and the Rees algebra [PDF]
Theoretical Computer Science, 2008 The Rees algebra of an ideal \(I\) in a noetherian commutative ring \(R\) is in a natural way a quotient of a polynomial ring by its ideal of defining relations. For \(R\) a polynomial ring over a field \(k\), this ideal was discovered independently by the geometric modeling community, where it is called the moving curve ideal.
Cox, David A.
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A Family of Quotients of the Rees Algebra [PDF]
Communications in Algebra, 2014 A family of quotient rings of the Rees algebra associated to a commutative ring is studied. This family generalizes both the classical concept of idealization by Nagata and a more recent concept, the amalgamated duplication of a ring. It is shown that several properties of the rings of this family do not depend on the particular member.
Barucci V, D'ANNA, Marco, Strazzanti F.
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Journal of Algebra, 1988 Let R be an integral domain and I an ideal of R. Let \(I_ a\) denote the integral closure of I. I is complete if \(I=I_ a\) and I is normal if each power of I is complete. It is well-known that if R is a two- dimensional regular local ring, then complete ideals are normal.
Brumatti, P, Simis, A, Vasconcelos, W.V
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New algebraic properties of quadratic quotients of the Rees algebra [PDF]
Journal of Algebra and Its Applications, 2019 We study some properties of a family of rings [Formula: see text] that are obtained as quotients of the Rees algebra associated with a ring [Formula: see text] and an ideal [Formula: see text]. In particular, we give a complete description of the spectrum of every member of the family and describe the localizations at a prime ideal.
D'Anna M, Strazzanti F
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Elimination and nonlinear equations of Rees algebras [PDF]
Journal of Algebra, 2010 A new approach is established to computing the image of a rational map, whereby the use of approximation complexes is complemented with a detailed analysis of the torsion of the symmetric algebra in certain degrees. In the case the map is everywhere defined this analysis provides free resolutions of graded parts of the Rees algebra of the base ideal in
Busé, Laurent +2 more
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When is the Rees Algebra Gorenstein?
Journal of Algebra, 1995 Let \((A,m)\) be a local ring with \(\dim A \geq 1\) which has a canonical module \(K_A\), \(F\) a sequence of ideals \(I_0 = A \supseteq I_1 \supseteq I_2 \supseteq \ldots\) of \(A\) with \(I_m I_n \subseteq I_{m + n}\) for all \(m,n \geq 0\) and \(R(F) : = \bigoplus_{n \geq 0} I_n\), \(G (F) = \bigoplus_{n \geq 0} I_n/I_{n + 1}\). Then (i) If \(R(F)\)
Ngô Viêt Trung +2 more
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F-rationality of Rees algebras [PDF]
Journal of Algebra, 2021 In this paper, we study the $F$-rationality of the Rees algebra and the extended Rees algebra of $\mathfrak{m}$-primary ideals in excellent local rings $(R, \mathfrak{m})$ of prime characteristic. We partially answer some conjectures and questions raised by N. Hara, K.-i. Watanabe and K.-i. Yoshida (J. Algebra, pp.153--190, vol 247, 2002).
Mitra Koley, Manoj Kummini
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Singularities of Rees-like algebras [PDF]
Mathematische Zeitschrift, 2020 31 ...
Mantero, Paolo +2 more
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Approximate Biprojectivity of ℓ1-Munn Banach Algebras
Journal of Mathematics, 2022 In the present paper, we study the approximate biprojectivity and weak approximate biprojectivity of ℓ1-Munn Banach algebras when the related sandwich matrix is regular over InvA.
G. Zarei +3 more
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