To a big-tilting object in a complete, cocomplete abelian category with an injective
cogenerator we assign a big-cotilting object in a complete, cocomplete abelian category with …

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 …

We explain why the naive definition of a natural exact category structure on complete,
separated topological vector spaces with linear topology fails. In particular, contrary to arXiv …

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 …

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Derived decompositions of abelian categories are introduced in internal terms of abelian
subcategories. They are used to construct semiorthogonal decompositions (or in other …

We study some closely interrelated notions of Homological Algebra:(1) We define a topology
on modules over a not-necessarily commutative ring R that coincides with the R-topology …

Given a $1 $-tilting cotorsion pair over a commutative ring, we characterise the rings over
which the $1 $-tilting class is an enveloping class. To do so, we consider the faithful finitely …

Contramodules were first introduced by Eilenberg and Moore in 1965 alongside comodules
over coalgebras or corings, but they achieved so little success that they were forgotten for …