F-invariants of Stanley-Reisner rings - ScienceDirect Skip to main contentSkip to article Elsevier
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The Frobenius complexity of a local ring R measures asymptotically the abundance of
Frobenius operators of order e on the injective hull of the residue field of R. It is known that …

We introduce a generating function associated to the homogeneous generators of a graded
algebra that measures how far is this algebra from being finitely generated. For the case of …

A SHORT SURVEY ON FROBENIUS COMPLEXITY AND GRADINGS WITH RATIONAL
TWIST FOR RINGS OF PRIME CHARACTERISTIC Page 1 A SHORT SURVEY ON …

Let R be a commutative Noetherian ring of prime characteristic p. The main goal of this
paper is to study in some detail when {p∈ Spec (R): FE p is finitely generated as a ring over …

We study the generating function associated to the complexity sequence of the twisted
construction of an N-graded ring. We regard this as an object reflecting the properties of the …

Abstract This dissertation investigates Stanley-Reisner rings and monomial ideals in
connection to some important concepts in characteristic p commutative algebra, such as …

It is known that the Frobenius algebra of the injective hull of the residue field of a formal
power series ring modulo a squarefree monomial ideal can be only principally generated or …