Results 21 to 30 of about 734 (182)
On the Cohen-Macaulayness of multi-Rees algebras and Rees algebras of powers of ideals [PDF]
Journal of the Mathematical Society of Japan, 1998 Let \(I\) be an ideal in a local ring \(A\). We want to investigate the Cohen-Macaulay properties of various Rees algebras of \(A\) with respect to \(I\), namely the multi-Rees algebras \((R_A({\mathcal I})_r))=:\bigoplus_{{(n_1,\dots,n_r)\atop n_i\geq 0}}I^{n_1}\dots I^{n_r}\), the Rees algebras of powers of \(I\) \((R_A(I^s))\) and the ordinary Rees ...
KORB, Thomas, NAKAMURA, Yukio
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The Aluffi Algebra and Linearity Condition
پژوهشهای ریاضی, 2022 The Aluffi algebra is an algebraic version of characteristic cycles in intersection theory which is an intermediate graded algebra between the symmetric algebra (naive blowup) and the Rees algebra (blowup).
Abbas Nasrollah Nejad, Parisa Solhi
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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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Algebraic Algorithms for Even Circuits in Graphs
Mathematics, 2019 We present an algebraic algorithm to detect the existence of and to list all indecomposable even circuits in a given graph. We also discuss an application of our work to the study of directed cycles in digraphs.
Huy Tài Hà, Susan Morey
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On the Gorenstein property of Rees Algebras
Manuscripta Mathematica, 1987 Let (A,m) be a local Noetherian ring, and let P be prime ideal of A whose height and analytic spread are equal. Let R(P) be the Rees ring \(\oplus P^ n,\quad n\geq 0\). The authors consider what the Gorensteinness of R(P) implies about R and P. Theorem: If (A,m) is a generalized Cohen- Macaulay ring (i.e., a ring of finite local cohomology) with Dim(A)\
Herrmann, Manfred, Ideda, Shin
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Rees algebra of maximal order Pfaffians and its diagonal subalgebras
, 2023 Given a skew-symmetric matrix $X$, the Pfaffian of $X$ is defined as the square root of the determinant of $X$. In this article, we give the explicit defining equations of the Rees algebra of a Pfaffian ideal $I$ generated by the maximal order Pfaffians ...
Kumar, Neeraj, Venugopal, Chitra
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On algebras whose congruences have a class that is a subuniverse
Miskolc Mathematical NotesWe study algebras and varieties where every non-trivial congruence has some class being a non-trivial subuniverse of the algebra in question. Then we focus on algebras where this non-trivial class is a unique non-singleton class of a congruence.
Ivan Chajda, Helmut Länger
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The Rees Algebra of a monomial plane parametrization
Journal of Symbolic Computation, 2015 36 pages, latex file.
Teresa Cortadellas Benítez +1 more
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Green index and finiteness conditions for semigroups
, 2008 Let S be a semigroup and let T be a subsemigroup of S. Then T acts on S by left and by right multiplication. If the complement S \ T has finitely many strong orbits by both these actions we say that T has finite Green index in S.
R. Gray +7 more
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Ideals and finiteness conditions for subsemigroups
, 2013 In this paper we consider a number of finiteness conditions for semigroups related to their ideal structure, and ask whether such conditions are preserved by sub- or supersemigroups with finite Rees or Green index. Specific properties under consideration
Ruskuc, N. +7 more
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