Results 41 to 50 of about 734 (182)
DEFINING EQUATIONS OF THE REES ALGEBRA OF CERTAIN PARAMETRIC SURFACES
, 2010 Let f0, f1, f2, f3 be linearly independent nonzero homogeneous polynomials in the standard ℤ-graded ring R ≔ 𝕂[s, t, u] of the same degree d, and gcd (f0, f1, f2, f3) = 1. This defines a rational map ℙ2 → ℙ3.
Wang, Haohao +3 more
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Mathematica Bohemica, 1997 An ideal \(I\) of an algebra \(A\) with \(0\) is called a Rees ideal if \(I^2 \cup \omega _A\), \(\omega _A\) the diagonal of \(A\), is a congruence on \(A\). An algebra \(A\) is a Rees ideal algebra if every ideal of \(A\) is a Rees ideal. It is proved that a variety \(\mathcal V\) with \(0\) is a Rees ideal variety (each member of \(\mathcal V\) is a
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Geochemistry, Geophysics, Geosystems, Volume 26, Issue 10, October 2025.Abstract Mafic eclogites of the Tauern Window in the Eastern Alps preserve vein networks associated with eclogite‐facies mineral assemblages. The structural and mineralogical diversity of these veins is encapsulated by Type I veins, which resemble deformed tension gashes, and Type II quartz segregates with non‐planar morphologies. Within host eclogites,
L. A. Strobl +3 more
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A reduction theorem for the Character Triple Conjecture
Proceedings of the London Mathematical Society, Volume 131, Issue 4, October 2025.Abstract In this paper, we show that the Character Triple Conjecture holds for all finite groups once assumed for all quasi‐simple groups. This answers the question on the existence of a self‐reducing form of Dade's conjecture, a problem that was extensively investigated by Dade in the 1990s.
Damiano Rossi
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A note on sequences and y-regularity of Rees algebra
, 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 a generalization of I-regularity
Open MathematicsLet SS be a pomonoid. The projectivity and strong flatness of right SS-posets have been central topics in the homological classification of pomonoids in recent decades. In 2005, Shi et al. introduced II-regular SS-posets and proved that all its cyclic SS-
Qiao Husheng, Feng Leting
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Geostandards and Geoanalytical Research, Volume 49, Issue 3, Page 495-533, September 2025.Key Points Synchrotron nano‐imaging is necessary to locate elemental nanophases. Trace metal quantification requires high sensitivity nano‐XRF. Trace metal speciation relies on nano‐XANES using nano‐XRF. This chapter (Nano‐Imaging for Advanced X‐ray Fluorescence and Absorption Spectroscopy Applications) is a contribution to the Geostandards and ...
Alexandre S. Simionovici +1 more
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Rees algebras of conormal modules
Journal of Pure and Applied Algebra, 2004 We deal with classes of prime ideals whose associated graded ring is isomorphic to the Rees algebra of the conormal module in order to describe the divisor class group of the Rees algebra and to examine the normality of the conormal module.
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On fixed‐point‐free involutions in actions of finite exceptional groups of Lie type
Journal of the London Mathematical Society, Volume 112, Issue 3, September 2025.Abstract Let G$G$ be a nontrivial transitive permutation group on a finite set Ω$\Omega$. By a classical theorem of Jordan, G$G$ contains a derangement, which is an element with no fixed points on Ω$\Omega$. Given a prime divisor r$r$ of |Ω|$|\Omega |$, we say that G$G$ is r$r$‐elusive if it does not contain a derangement of order r$r$. In a paper from
Timothy C. Burness, Mikko Korhonen
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On the Symmetric and Rees algebras of an ideal
Manuscripta Mathematica, 1979 Some necessary and sufficient conditions are given for the Rees and Symmetric Algebra of an ideal being canonically isomorphic. Some applications are obtained to the study of the relations between the generators of ideals which are maximal minors of a generic t by (t+1) matrix, prime ideals of finite projective dimension, almost complete intersections ...
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