3 papers
math.AC2025
On the Weierstrass Preparation Theorem over General Rings
Jason Bell, Peter Malcolmson, Frank Okoh +1
We study rings over which an analogue of the Weierstrass preparation theorem holds for power series. We show that a commutative ring admits a factorization of every power serie…
math.RT2014
Direct products of modules and the pure semisimplicity conjecture. Part II
Birge Huisgen-Zimmermann, Manuel Saorín
We prove that the module categories of Noether algebras (i.e., algebras module finite over a noetherian center) and affine noetherian PI algebras over a field enjoy the following p…
math.RA2014
Direct products of modules and the pure semisimplicity conjecture
Birge Huisgen-Zimmermann, Frank Okoh
It is shown that, if is either an Artin algebra or a commutative noetherian domain of Krull dimension , then infinite direct products of -modules resist direct sum decomp…