The v-number of a graded ideal is an algebraic invariant introduced by Cooper et al., and
originally motivated by problems in algebraic coding theory. In this paper we study the case …

We survey results produced from the interaction between methods in prime characteristic
and combinatorial commutative algebra. We showcase results for edge ideals, toric …

In this paper, we show the equality of the (local)\(\textrm {v}\)-number and Castelnuovo-
Mumford regularity of certain classes of Gorenstein algebras, including the class of …

This work aims to algebraically describe the relative generalized Hamming weights of
evaluation codes. We give a lower bound for these weights in terms of a footprint bound, and …

We show that the generalized minimum distance function is non-increasing as the degree
varies for reduced standard graded algebras over a field. This allows us to define its …