107 citations · 154 across the 12 of their papers we have counts for
7 papers · 1 filter
On finitary power monoids of linearly orderable monoids
Jiya Dani, Felix Gotti, Leo Hong +2
A commutative monoid is called a linearly orderable monoid if there exists a total order on that is compatible with the monoid operation. The finitary power monoid of a com…
Arithmetic properties encoded in undermonoids
Felix Gotti, Bangzheng Li
Let be a cancellative and commutative monoid. A submonoid of is called an undermonoid if the Grothendieck groups of and coincide. For a given property $\mathfra…
One-dimensional monoid algebras and ascending chains of principal ideals
Alan Bu, Felix Gotti, Bangzheng Li +1
An integral domain is called atomic if every nonzero nonunit of factors into irreducibles, while satisfies the ascending chain condition on principal ideals if every as…
Factorization in Additive Monoids of Evaluation Polynomial Semirings
Khalid Ajran, Juliet Bringas, Bangzheng Li +2
For a positive real , we can consider the additive submonoid of the real line that is generated by the nonnegative powers of . When is transcendental, is a unique…
On the primality and elasticity of algebraic valuations of cyclic free semirings
Nancy Jiang, Bangzheng Li, Sophie Zhu
A cancellative commutative monoid is atomic if every non-invertible element factors into irreducibles. Under certain mild conditions on a positive algebraic number , the additiv…
Atomic semigroup rings and the ascending chain condition on principal ideals
Felix Gotti, Bangzheng Li
An integral domain is called atomic if every nonzero nonunit element factors into irreducibles. On the other hand, an integral domain is said to satisfy the ascending chain conditi…
Divisibility in rings of integer-valued polynomials
Felix Gotti, Bangzheng Li
In this paper, we address various aspects of divisibility by irreducibles in rings consisting of integer-valued polynomials. An integral domain is called atomic if every nonzero no…