7 citations · 9 across the 6 of their papers we have counts for
17 papers
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…
Bi-atomic classes of positive semirings
Nicholas R. Baeth, Scott T. Chapman, Felix Gotti
Let be a nonnegative semiring of the real line, called here a positive semiring. We study factorizations in both the additive monoid and the multiplicative monoid $(S\s…
Length-factoriality in commutative monoids and integral domains
Scott T. Chapman, Jim Coykendall, Felix Gotti +1
An atomic monoid is called a length-factorial monoid (or an other-half-factorial monoid) if for each non-invertible element no two distinct factorizations of have…
Bounded and finite factorization domains
David F. Anderson, Felix Gotti
An integral domain is atomic if every nonzero nonunit factors into irreducibles. Let be an integral domain. We say that is a bounded factorization domain if it is atomic an…
Factorizations in upper triangular matrices over information semialgebras
Nicholas R. Baeth, Felix Gotti
An integral domain (or a commutative cancellative monoid) is atomic if every nonzero nonunit element is the product of irreducibles, and it satisfies the ACCP if every ascending ch…