[图书][B] Commutation relations, normal ordering, and Stirling numbers

T Mansour, M Schork - 2016 - api.taylorfrancis.com
Commutation Relations, Normal Ordering, and Stirling Numbers Page 1 Commutation
Relations, Normal Ordering, and Stirling Numbers Toufik Mansour • Matthias Schork Mansour • …

Dualising complexes and twisted Hochschild (co) homology for Noetherian Hopf algebras

KA Brown, JJ Zhang - Journal of Algebra, 2008 - Elsevier
We show that many noetherian Hopf algebras A have a rigid dualising complex R with R≅
A1ν [d]. Here, d is the injective dimension of the algebra and ν is a certain k-algebra …

On irreducible representations of compact p-adic analytic groups

K Ardakov, S Wadsley - Annals of Mathematics, 2013 - JSTOR
We prove that the canonical dimension of a coadmissible representation of a semisimple p-
adic Lie group in a p-adic Banach space is either zero or at least half the dimension of a …

Pertinency of Hopf actions and quotient categories of Cohen–Macaulay algebras

Y Bao, J He, JJ Zhang - Journal of Noncommutative Geometry, 2019 - ems.press
Pertinency of Hopf actions and quotient categories of Cohen–Macaulay algebras Page 1 J.
Noncommut. Geom. 13 (2019), 667–710 DOI 10.4171/JNCG/336 Journal of Noncommutative …

Auslander-Gorenstein rings

K Ajitabh, SP Smith, JJ Zhang - Communications in Algebra, 1998 - Taylor & Francis
Auslander-gorenstein rings Page 1 COMMUNICATIONS IN ALGEBRA, 26(7), 2159-2180 (1998)
AUSLANDER-GORENSTEIN RINGS K . AJITABH: DEPARTMENT OF MATHEMATICS, FLORIDA …

Noncommutative Auslander theorem

YH Bao, JW He, J Zhang - Transactions of the American Mathematical …, 2018 - ams.org
In the 1960s Maurice Auslander proved the following important result. Let $ R $ be the
commutative polynomial ring $\mathbb {C}[x_1,\dots, x_n] $, and let $ G $ be a finite small …

-modules on rigid analytic spaces III: weak holonomicity and operations

K Ardakov, A Bode, S Wadsley - Compositio Mathematica, 2021 - cambridge.org
We develop a dimension theory for coadmissible $\widehat {\mathcal {D}} $-modules on
rigid analytic spaces and study those which are of minimal dimension, in analogy to the …

[PDF][PDF] Some homological properties of skew extensions arising in non-commutative algebraic geometry

O Lezama - Discussiones Mathematicae-General Algebra and …, 2017 - sciendo.com
In this short paper we study for the skew PBW (Poincar-Birkhoff-Witt) extensions some
homological properties arising in non-commutative algebraic geometry, namely, Auslander …

[PDF][PDF] Fixed subrings of Noetherian graded regular rings

E Kirkman, J Kuzmanovich - Journal of Algebra, 2005 - core.ac.uk
Rings of invariants can have nice homological properties even if they do not have finite
global dimension. Watanabe's Theorem [W] gives conditions when the fixed subring of a …

Auslander-Gorenstein rings for beginners

J Clark - International Symposium on Ring Theory, 2001 - Springer
We discuss past and current research on Noetherian rings which satisfy a condition
introduced by Auslander involving the homological grade of modules. These rings include …