Results 1 to 10 of about 734 (182)
The moving curve ideal and the Rees algebra
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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Rees algebras of diagonal ideals
Journal of Commutative Algebra, 2013 There is a natural epimorphism from the symmetric algebra to the Rees algebra of an ideal. When this epimorphism is an isomorphism, we say that the ideal is of linear type. Given two determinantal rings over a field, we consider the diagonal ideal, the kernel of the multiplication map.
Kuei-Nuan Lin
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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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, 2021 We survey old and new approaches to the study of symbolic powers of ideals. Our focus is on the symbolic Rees algebra of an ideal, viewed both as a tool to investigate its symbolic powers and as a source of challenging problems in its own right. We provide an invitation to this area of investigation by stating several open questions.
Grifo, Eloísa, Seceleanu, Alexandra
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Bootstrapping string dynamics in the 6d 𝒩 = (2, 0) theories
Journal of High Energy Physics, 2023 We present two complementary approaches to calculating the 2-point function of stress tensors in the presence of a 1/2 BPS surface defect of the 6d 𝒩 = (2, 0) theories.
Carlo Meneghelli, Maxime Trépanier
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Fibers of rational maps and Rees algebras of their base ideals
Tạp chí Khoa học Đại học Huế: Khoa học Tự nhiên, 2020 We consider a ratinonal map $\phi$ from m-dimensional projective space to n-dimensional projective space that is a parameterization of m-dimensional variety. Our main goal is to study the (m-1)-dimensional fibers of $\phi$ in relation with the m-th local
Tran Quang Hoa, Ho Vu Ngoc Phuong
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What is the Rees algebra of a module? [PDF]
Proceedings of the American Mathematical Society, 2002 In this paper we show that the Rees algebra can be made into a functor on modules over a ring in a way that extends its classical definition for ideals. The Rees algebra of a module M M
Eisenbud, David +2 more
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