Felix Gotti

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math.AC2026

On near atomicity and a characterization of the FF property

Jonathan Du, Felix Gotti, Leo Hong

A commutative cancellative monoid is atomic if every nonunit factors into atoms, and an integral domain is atomic if its multiplicative monoid of nonzero elements is atomic. Severa…

math.AC2024

On monoid algebras having every nonempty subset of $N_{\geq 2}$ as a length set

Alfred Geroldinger, Felix Gotti

We construct monoid algebras which satisfy the ascending chain condition on principal ideals and which have the property that every nonempty subset of $N_{\geq 2}$ occurs a…

On near atomicity and a characterization of the FF property

On monoid algebras having every nonempty subset of N≥2​ as a length set

On monoid algebras having every nonempty subset of $N_{\geq 2}$ as a length set