Results 21 to 30 of about 194,411 (117)
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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Canonical modules of Rees algebras [PDF]
, 2005 We compute the canonical class of certain Rees algebras. Our formula generalizes that of Herzog and Vasconcelos. Its proof relies on the fact that the formation of the canonical module commutes with subintersections in important cases.
Restuccia, Gaetana +3 more
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Equations of multi-Rees Algebras [PDF]
, 2018 In this thesis we describe the defining equations of certain multi-Rees algebras. First, we determine the defining equations of the multi-Rees algebra $R[I^{a_1}t_1,\dots,I^{a_r}t_r]$ over a Noetherian ring $R$ when $I$ is an ideal of linear type.
Jabbar Nezhad, Babak
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Solvable complemented Lie algebras. [PDF]
, 2012 In this paper a characterisation is given of solvable complemented Lie algebras. They decompose as a direct sum of abelian subalgebras and their ideals relate nicely to this decomposition.
Towers, David A.
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Noetherian and Artinian ordered groupoids—semigroups
International Journal of Mathematics and Mathematical Sciences, 2005 Chain conditions, finiteness conditions, growth conditions, and other forms of finiteness, Noetherian rings and Artinian rings have been systematically studied for commutative rings and algebras since 1959.
Niovi Kehayopulu, Michael Tsingelis
doaj +1 more source
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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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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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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Welcome to the jangle (fallacy): The case of statistics and mathematics anxieties
British Journal of Educational Psychology, EarlyView.Abstract Background Statistics‐related anxiety is a common barrier to learning in higher education, particularly for psychology and other non‐specialist students. High prevalence rates are concerning because statistical literacy is integral to academic success, employability and informed citizenship.
Jenny Terry, Charlie Lea, Andy P. Field
wiley +1 more source