Dévissages des F-complexes de $\mathcal{D}$ -modules arithmétiques en F-isocristaux surconvergents

F–isocrystals and Homotopy Types (f–isocristaux Et Types D’homotopie)

We study a positive characteristic analog of the nonabelian Hodge structure constructed by Katzarkov, Pantev, and Toen on the homotopy type of a complex algebraic variety. Given a proper smooth scheme X over a perfect field of characteristic p and a Tannakian category C of isocrystals on X, we construct an object XC in a suitable homotopy category of simplicial presheaves whose category of loca...

F-regularity relative to modules

In this paper we will generalize  some of known results on the tight closure of an ideal to the tight closure of an ideal relative to a module .

Relative (co)homology of $F$-Gorenstein modules

We investigate the relative cohomology and relative homology theories of $F$-Gorenstein modules, consider the relations between classical and $F$-Gorenstein (co)homology theories.

A KIND OF F-INVERSE SPLIT MODULES

Let M be a right module over a ring R. In this manuscript, we shall study on a special case of F-inverse split modules where F is a fully invariant submodule of M introduced in [12]. We say M is Z 2(M)-inverse split provided f^(-1)(Z2(M)) is a direct summand of M for each endomorphism f of M. We prove that M is Z2(M)-inverse split if and only if M is a direct...

Introduction a l'etude de salmonella et des salmonelloses en Iran