[eng] This dissertation is devoted to the study of Cartier algebras and local cohomology
modules; more precisely, we show that the Cartier algebra of a complete Stanley-Reisner …

Addendum to “Frobenius and Cartier algebras of Stanley–Reisner rings” [J. Algebra 358 (2012)
162–177] - ScienceDirect Skip to main contentSkip to article Elsevier logo Journals & Books …

Building on our previous work" Cartier modules: finiteness results" we start in this manuscript
an in depth study of the derived category of Cartier modules and the cohomological …

Assume that $ X $ is an affine toric variety of characteristic $ p> 0$. Let $\Delta $ be an
effective toric $\mathbb {Q} $-divisor such that $ K_X+\Delta $ is $\mathbb {Q} $-Cartier with …

ADDENDUM TO ”FROBENIUS AND CARTIER ALGEBRAS OF STANLEY-REISNER RINGS”
[J. ALGEBRA 358 (2012) 162-177] 1. Introduction Let (R Page 1 ADDENDUM TO ”FROBENIUS …

The aim of this work is to show that, when A is an artinian local ring, the Contou-Carrère
symbol satisfies the property of Steinberg symbols:[Formula: see text] for all elements f, 1 …

Let R be a commutative Noetherian F-finite ring of prime characteristic and let D be a Cartier
algebra. We define a self-map on the Frobenius split locus of the pair (R, D) by sending a …

We prove that the $\infty $-category of $ p $-typical topological Cartier modules, recently
introduced by Antieau--Nikolaus, over some base $ A $ is equivalent to the $\infty $-category …

We introduce a version of the Cartier isomorphism for de Rham cohomology valid for
associative, not necessarily commutative algebras over a field of positive characteristic …

Let R be a ring. Any R-module M which is Artinian or Noetherian can be written as the direct
sum of a finite number of indecomposable R-modules. The theorem of Krull–Remak …