Results 31 to 40 of about 315,833 (178)
Green index in semigroups : generators, presentations and automatic structures [PDF]
, 2012 The Green index of a subsemigroup T of a semigroup S is given by counting strong orbits in the complement S n T under the natural actions of T on S via right and left multiplication.
Ruskuc, Nik +4 more
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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
doaj
Rees algebra of maximal order Pfaffians and its diagonal subalgebras [PDF]
, 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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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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A note on sequences and y-regularity of Rees algebra [PDF]
, 2023 Given a graded ring $A$ and a homogeneous ideal $I$, the ideal is said to be of linear type if the Rees algebra of $I$ is isomorphic to the symmetric algebra of $I$.
Kumar, Neeraj, Venugopal, Chitra
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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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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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F-Rationality of Rees Algebras
Journal of Algebra, 2002 Many authors have studied various properties of Rees algebras; this paper is the first systematic study of the F-rationality: Under what conditions on the ring \(R\) and on the ideal \(I\) does the F-rationality of \(R\) imply the F-rationality of the Rees algebra \(R(I)\), and vice versa? One of the techniques the authors employ is the Sancho de Salas
Hara, Nobuo +2 more
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Linear Algebra and Smarandache Linear Algebra [PDF]
, 2003 The present book, on Smarandache linear algebra, not only studies the Smarandache analogues of linear algebra and its applications, it also aims to bridge the need for new research topics pertaining to linear algebra, purely in the algebraic sense.
Vasantha, Kandasamy
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Symbolic Rees algebras, vertex covers and irreducible representations of Rees cones [PDF]
, 2010 Let G be a simple graph and let Ic(G) be its ideal of vertex covers. We give a graph theoretical description of the irreducible b-vertex covers of G, i.e., we describe the minimal generators of the symbolic Rees algebra of Ic(G).
Dupont, L.D., Villarreal, R.H.
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