For four wide classes of topological rings R, we show that all flat left R-contramodules have
projective covers if and only if all flat left R-contramodules are projective if and only if all left …

This paper is devoted to the more elementary aspects of the contramodule story, and can be
viewed as an extended introduction to the more technically complicated arXiv: 1503.05523 …

Abstract Extending the Wedderburn–Artin theory of (classically) semisimple associative
rings to the realm of topological rings with right linear topology, we show that the abelian …

Semi-Infinite Geometry is a theory of" doubly infinite-dimensional" geometric or topological
objects. In this book the author explains what should be meant by an algebraic variety of …

We show that a direct limit of projective contramodules (over a right linear topological ring) is
projective if it has a projective cover. A similar result is obtained for-strictly flat contramodules …

Let R be a commutative ring and I⊂ RI⊂R a finitely generated ideal. We discuss two
definitions of derived I‐adically complete (also derived I‐torsion) complexes of R‐modules …

Let C be a class of modules and L= lim→ C the class of all direct limits of modules from C.
The class L is well understood when C consists of finitely presented modules: L then enjoys …

Under mild assumptions, we construct the two Matlis additive category equivalences for an
associative ring epimorphism u: R⟶ U. Assuming that the ring epimorphism is homological …

FLAT RING EPIMORPHISMS OF COUNTABLE TYPE Page 1 Glasgow Math. J. 62 (2020)
383–439. C Glasgow Mathematical Journal Trust 2019. doi:10.1017/S001708951900017X. FLAT …

We present applications of contramodule techniques to the Enochs conjecture about covers
and direct limits, both in the categorical tilting context and beyond. In the n-tilting–cotilting …