Lance Bryant

activity

20082018

most citedCurriculum Guidelines for Undergraduate Programs in Data Science

251 citations · 285 across the 5 of their papers we have counts for

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4 papers · 1 filter

math.AC2014

Position Vectors of Numerical Semigroups

Lance Bryant, James Hamblin

We provide a new way to represent numerical semigroups by showing that the position of every Apéry set of a numerical semigroup $S$ in the enumeration of the elements of $S$ is uni…

math.AC2012★ 8 cited

The Maximal Denumerant of a Numerical Semigroup

Lance Bryant, James Hamblin

Given a numerical semigroup S = <a_0, a_1, a_2,..., a_t> and n in S, we consider the factorization n = c_0 a_0 + c_1 a_1 + ... + c_t a_t where c_i >= 0. Such a factorization is max…

math.AC2011★ 2 cited

Maximal Denumerant of a Numerical Semigroup With Embedding Dimension Less Than Four

Lance Bryant, James Hamblin, Lenny Jones

Given a numerical semigroup $S =< a_{1}, a_{2}, ..., a_{t} >$ and $s \in S$ , we consider the factorization $s = c_{1} a_{1} + c_{2} a_{2} + ... + c_{t} a_{t}$ where $c_{i} \geq 0$ . Such a factorization is {…

math.AC2008★ 24 cited

Goto Numbers of a Numerical Semigroup Ring and the Gorensteiness of Associated Graded Rings

Lance Bryant

The Goto number of a parameter ideal Q in a Noetherian local ring (R,m) is the largest integer q such that Q : m^q is integral over Q. The Goto numbers of the monomial parameter id…