Results 141 to 150 of about 315,833 (178)
Using brain imaging to track problem solving in a complex state space. [PDF]
Anderson JR +3 more
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Moral values are associated with individual differences in regional brain volume. [PDF]
Lewis GJ, Kanai R, Bates TC, Rees G.
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Neuroanatomical correlates of biological motion detection. [PDF]
Gilaie-Dotan S +4 more
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Reduction in Rees Algebra of Modules
Algebras and Representation Theory, 2014\textit{P. Eakin} and \textit{A. Sathaye} [J. Algebra 41, 439--454 (1976; Zbl 0348.13012)] proved that if \(I\) is an ideal in the local ring \(R\) with infinite residue field such that \(I^n\) can be generated by fewer than \(n+r \choose r\) elements, for some integers \(n\geq 1\) and \(r\geq 0\), then there are elements \(y_1,\dots,y_r\) in \(I ...
Shiv Datt Kumar
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A D-modules approach on the equations of the Rees algebra [PDF]
Let I subset of R = F[x(1), x(2)] be a height two ideal minimally generated by three homogeneous polynomials of the same degree d, where F is a field of characteristic zero.
Yairon Cid-Ruiz
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Proceedings of the London Mathematical Society, 2003
Summary: We study Rees algebras of modules within a fairly general framework. We introduce an approach through the notion of Bourbaki ideals that allows the use of deformation theory. One can talk about the (essentially unique) generic Bourbaki ideal \(I(E)\) of a module \(E\) which, in many situations, allows one to reduce the nature of the Rees ...
Simis, Aron +2 more
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Summary: We study Rees algebras of modules within a fairly general framework. We introduce an approach through the notion of Bourbaki ideals that allows the use of deformation theory. One can talk about the (essentially unique) generic Bourbaki ideal \(I(E)\) of a module \(E\) which, in many situations, allows one to reduce the nature of the Rees ...
Simis, Aron +2 more
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On the depth of the Rees algebra of an ideal module [PDF]
We study the Rees algebra R(E):=S(E)/τR(S(E)) of an ideal module E⊂G≃Re. We use the technique of Bourbaki ideals introduced by Simis, Ulrich and Vasconcelos (2003) [22] to relate the Rees algebra of a module E to the Rees algebra of an ideal I=I(E)⊂R ...
Santiago Zarzuela
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Journal of the London Mathematical Society, 2002
Summary: Let \(B = k[x_1, \ldots, x_n]\) be a polynomial ring over a field \(k\) , and let \(A\) be a quotient ring of \(B\) by a homogeneous ideal \(J\) . Let \(\mathfrak{m}\) denote the maximal graded ideal of \(A\) . Then the Rees algebra \(R = A[{\mathfrak{m}} t]\) also has a presentation as a quotient ring of the polynomial ring \(k[x_1, \ldots ...
Herzog, Jürgen +2 more
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Summary: Let \(B = k[x_1, \ldots, x_n]\) be a polynomial ring over a field \(k\) , and let \(A\) be a quotient ring of \(B\) by a homogeneous ideal \(J\) . Let \(\mathfrak{m}\) denote the maximal graded ideal of \(A\) . Then the Rees algebra \(R = A[{\mathfrak{m}} t]\) also has a presentation as a quotient ring of the polynomial ring \(k[x_1, \ldots ...
Herzog, Jürgen +2 more
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Journal of Pure and Applied Algebra, 2023
Following [\textit{V. Barucci} et al., Commun. Algebra 43, No. 1, 130--142 (2015; Zbl 1327.13087); Ark. Mat. 54, No. 2, 321--338 (2016; Zbl 1372.13017)] the authors of the paper, investigate on a family of quadratic quotients of Rees algebras over a commutative ring.
Marco D'Anna +2 more
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Following [\textit{V. Barucci} et al., Commun. Algebra 43, No. 1, 130--142 (2015; Zbl 1327.13087); Ark. Mat. 54, No. 2, 321--338 (2016; Zbl 1372.13017)] the authors of the paper, investigate on a family of quadratic quotients of Rees algebras over a commutative ring.
Marco D'Anna +2 more
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Rees algebras and their varieties
Publicationes Mathematicae Debrecen, 2022Following a paper of the reviewer [Publ. Inst. Math., Nouv. Sér. 29(43), 229-239 (1981; Zbl 0491.08002)], a subalgebra B of an algebra A is called a Rees subalgebra whenever there exists a congruence \(\theta\) on A such that \(\in \theta\) if and only if either \(x=y\) or both x, y are elements of B.
Chajda, Ivan, Duda, Jaromír
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