2 citations · 3 across the 5 of their papers we have counts for
6 papers
High and Low Formulas in Modules
Philipp Rothmaler
A partition of the set of unary pp formulas into four regions is presented, which has a bearing on various structural properties of modules. The machinery developed allows for appl…
Mittag Leffler modules and definable subcategories
Philipp Rothmaler
We study (relative) -Mittag-Leffler modules as was done in the author's habilitation thesis, rephrase old, unpublished results in terms of definable subcategories, and…
Strict Mittag-Leffler modules and purely generated classes
Philipp Rothmaler
We study versions of strict Mittag-Leffler modules relativized to a class $\cK$ (of modules), that is, \emph{strict} versions (in the technical sense of Raynaud and Gruson) of $\cK…
Remarks on theories of free algebras and modules
Anand Pillay, Philipp Rothmaler
We ask some questions and make some observations about the (complete) theory T (infinity, V) of free algebras in V on infinitely many generators, where V is a variety in the sense…
Implications of positive formulas in modules (RIMS)
Philipp Rothmaler
In this survey the role of implications of positive formulas -- finitary and infinitary -- is dicussed, in general and in module categories, where they seem of particular importanc…
Torsion-free, divisible, and Mittag-Leffler modules
Philipp Rothmaler
We study (relative) K-Mittag-Leffler modules, with emphasis on the class K of absolutely pure modules. A final goal is to describe the K-Mittag-Leffler abelian groups as those that…