Showing math.ACShow all
2 papers · 1 filter
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.AC2025
An unrestricted notion of the finite factorization property
Jonathan Du, Felix Gotti
A nonzero element of an integral domain (or commutative cancellative monoid) is called atomic if it can be written as a finite product of irreducible elements (also called atoms).…