3 citations · 8 across the 12 of their papers we have counts for
4 papers · 2 filters
Flat maps to and from Noetherian rings
Justin Chen
We investigate flat maps where the source or target is a Noetherian ring, giving necessary and/or sufficient conditions on a ring for such maps to exist. Along the way, we develop…
Infinite prime avoidance
Justin Chen
We investigate prime avoidance for an arbitrary set of prime ideals in a commutative ring. Various necessary and/or sufficient conditions for prime avoidance are given, which yield…
Surjections of unit groups and semi-inverses
Justin Chen
Given a surjective ring homomorphism, we study when the induced group homomorphism on unit groups is surjective. To this end, we introduce notions of generalized inverses and units…
Mono: an algebraic study of torus closures
Justin Chen
Given an ideal I in a polynomial ring, we consider the largest monomial subideal contained in I, denoted mono(I). We study mono as an interesting operation in its own right, guided…