Results 71 to 80 of about 175 (120)

Graded commutative algebra and related structures in Singular with applications [PDF]

, 2011
This thesis is devoted to constructive module theory of polynomial graded commutative algebras over a field. It treats the theory of Groebner bases (GB), standard bases (SB) and syzygies as well as algorithms and their implementations.
Motsak, Oleksandr
core  

Hochschild cohomology commutes with adic completion

, 2016
: For a flat commutative k-algebra A such that the enveloping algebra A circle times(k) A is noetherian, given a finitely generated bimodule M, we show that the adic completion of the Hochschild cohomology module HHn (A/k, M) is naturally isomorphic to ...
Shaul, Liran
core  

Persistent Cohomology for Data With Multicomponent Heterogeneous Information. [PDF]

SIAM J Math Data Sci, 2020
Cang Z, Wei GW.
europepmc   +1 more source

On Cohen-Macaulay rings [PDF]

, 1994
summary:In this paper, we use a characterization of $R$-modules $N$ such that $fd_RN = pd_RN$ to characterize Cohen-Macaulay rings in terms of various dimensions. This is done by setting $N$ to be the $dth$ local cohomology functor of $R$ with respect to
Overtoun, Jenda M. G., Enochs, Edgar E.
core  

Koszul Homology and Resolutions over Commutative Rings

, 2020
The Koszul homology algebra of a commutative local (or graded) ring R tends to reflect important information about the ring R and its properties.
Diethorn, Rachel Nicole
core  

Characterizations of Gorenstein Rings Using Frobenius

, 2017
Let R be a local commutative Noetherian ring of characteristic p \u3e 0 and f : R → R the Frobenius ring homomorphism sending r ∈ R to its pth power rp.
Falahola, Brittney
core  

Adjoint <i>L</i>-functions, congruence ideals, and Selmer groups over GL n. [PDF]

Res Number Theory
Fong HL.
europepmc   +1 more source

The Eisenstein ideal at prime-square level has constant rank. [PDF]

Proc Natl Acad Sci U S A
Lang J, Wake P.
europepmc   +1 more source

Tilting complexes and codimension functions over commutative noetherian rings

In the derived category of a commutative noetherian ring, we explicitly construct a silting object associated with each sp-filtration of the Zariski spectrum satisfying the "slice" condition.
Hrbek, Michal, Nakamura, Tsutomu, Šťovíček, Jan   +2 more
core   +1 more source

On Hodge polynomials for nonalgebraic complex manifolds. [PDF]

Proc Natl Acad Sci U S A
Katzarkov L, Lee KS, Lupercio E, Meersseman L.   +3 more
europepmc   +1 more source