1 citations · 1 across the 8 of their papers we have counts for
9 papers
Solution Module and Linear Closure
I-Chiau Huang, I-Hsun Tsai
We introduce the notion of an ``initial condition'' for a module over a commutative Noetherian local ring, allowing for a recursive construction of its ``solution modules''. If the…
Affine Semigroup Algebras And Their Fibered Sums
C-Y. Jean Chan, I-Chiau Huang, Jung-Chen Liu
We study affine semigroup rings as algebras over subsemigroup rings. From this relative viewpoint with respect to a given subsemigroup ring, the fibered sum of two affine semigroup…
Coefficient Rings of Numerical Semigroup Algebras
I-Chiau Huang, Raheleh Jafari
Numerical semigroup rings are investigated from the relative viewpoint. It is known that algebraic properties such as singularities of a numerical semigroup ring are properties of…
A formula for enumerating permutations with a fixed pinnacle set
Alexander Diaz-Lopez, Pamela E. Harris, Isabella Huang +2
In 2017 Davis, Nelson, Petersen, and Tenner pioneered the study of pinnacle sets of permutations and asked whether there exists a class of operations, which applied to a permutatio…
Factorizations in Numerical Semigroup Algebras
I-Chiau Huang, Raheleh Jafari
We study a numerical semigroup ring as an algebra over another numerical semigroup ring. The complete intersection property of numerical semigroup algebras is investigated using fa…
Algebraic Structures of Bernoulli Numbers and Polynomials
I-Chiau Huang
In a field of Laurent series, we construct a subring which has a module structure over a Weyl algebra. Identities of Bernoulli numbers and polynomials are obtained from these algeb…