8 citations · 20 across the 32 of their papers we have counts for
4 papers · 1 filter
Stacks of algebras and their homology
Nancy Heinschel, Birge Huisgen-Zimmermann
For any increasing function which takes only finitely many distinct values, a connected finite dimensional algebra is constructed, wi…
The finitistic dimension conjectures -- a tale of 3.5 decades
Birge Huisgen-Zimmermann
We review the history of several homological conjectures, both from a chronological and a methodological point of view.
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…
Purity, algebraic compactness, direct sum decompositions, and representation type
Birge Huisgen-Zimmermann
This survey article is devoted to the notions of purity, algebraic and -algebraic compactness, direct sum decompositions, and representation type in the category of modules over…