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Rees rings and form rings of almost complete intersections [PDF]

Nagoya Mathematical Journal, 1982
Recently different authors have studied the conormal modules I/I2 of almost complete intersections in local Gorenstein rings (c. t. Aoyama [1], Herzog [8], Kunz [13], Matsuoka [16]). An essential tool in these papers is the theory of canonical modules and the fact that these modules are easy to handle in the case of almost complete intersections.
openaire   +4 more sources

On quotients of Rees algebras

, 2023
We study ring theory properties of some quotients of Rees algebras, A(f) (a), that extend results of [2] and [3]. In particular, we use pullback constructions to describe the prime spectrum of A(f) (a). Some questions that we discuss in this paper remain
Tartarone F., Finocchiaro C. A., D'Anna M.   +2 more
core   +1 more source

Generalized rees rings and arithmetical graded rings

Journal of Algebra, 1983
0. INTRODUCTION In this paper we study graded rings with an arithmetical ideal theory for the graded ideals, e.g., Gr-Dedekind and Gr-principal ideal rings. If these rings are positively graded rings, then the structure of Gr-Dedekind and of Gr-principal ideal rings is easily investigated and it is much like the structure of the ungraded equivalents ...
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Multiplicities and Volumes of Filtrations

Mathematics
In this article, we survey some aspects of the theory of multiplicities of mR-primary ideals in a local ring (R,mR) and the extension of this theory to multiplicities of graded families of mR-primary ideals.
Steven Dale Cutkosky
doaj   +1 more source

Artin-Rees property and Artin-Rees rings

Mathematical Communications, 2010
We study the problem asking which ideals in Noetherian rings have the Artin-Rees property, and want to obtain new ideals with this property from those for which we know that satisfy it. We show that the class $\ARRingc$, of all (Noetherian) Artin-Rees rings in which every prime ideal is moreover completely prime, is closed under localization at an ...
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On Rees algebras of 2-determinantal ideals

, 2023
Let I be the ideal of minors of a 2 by n matrix of linear forms with the expected codimension. In this paper we prove that the Rees algebra of I and its special fiber ring are Cohen-Macaulay and Koszul; in particular, they are quadratic algebras.
R. Ramkumar, Ramkumar, Ritvik, Sammartano, Alessio, A. Sammartano   +3 more
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Beyond d‐Band Catalysis: A Critical Review and Descriptor Framework for Rare‐Earth Engineering in Lithium–Sulfur Batteries

Advanced Science, EarlyView.
Rare‐earth catalysts regulate lithium–sulfur battery chemistry through f‐orbital–mediated interactions, enabling simultaneous polysulfide adsorption and catalytic conversion on conductive carbon hosts. This synergistic control suppresses the shuttle effect, accelerates redox kinetics, and guides stable Li2S nucleation, providing a mechanistic framework
Fan Wang, Shihzad Shakil, Guozhi Wu, Jiarui Huang, Hanhui Lei, Terence Xiaoteng Liu   +5 more
wiley   +1 more source

Rees algebras of sparse determinantal ideals [PDF]

We determine the defining equations of the Rees algebra and of the special fiber ring of the ideal of maximal minors of a $2\times n$ sparse matrix. We prove that their initial algebras are ladder determinantal rings. This allows us to show that the Rees
Celikbas, Ela, Fouli, Louiza, Lin, Kuei-Nuan, Gorla, Elisa, Polini, Claudia, Dufresne, Emilie, Swanson, Irena   +6 more
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The psychosocial toll of Dublin III on asylum seekers in the Netherlands

American Journal of Community Psychology, EarlyView.
Abstract The Dublin III Regulation determines which EU Member State is responsible for examining asylum claims, but its implementation carries significant consequences for those subjected to it. This study examines how Dublin III, as implemented in the Netherlands, affects asylum seekers' psychosocial wellbeing using Silove′s Adaptation and Development
Imen El Amouri
wiley   +1 more source

Embedding Chemistry and Pharmacy Into Sustainability

Angewandte Chemie International Edition, EarlyView.
Chemistry and pharmacy provide products and processes that are indispensable for our high living standard. To understand their relationship with sustainability is important to allow them to contribute to sustainability in a sustainable manner. An integrated overview of green, circular, and sustainable chemistry and pharmacy is given and how they have t
Klaus Kümmerer
wiley   +1 more source