… Let us remark that a noteworthy difference of Theorem 1.1(1) from the result [4, Proposition
1.7] is that our recollement is over derived module categories of precisely determined rings, …

… The important property for us, indeed an equivalent characterization of coherence, is that
the category of finitely presented left modules over a left coherent ring is abelian. …

Heuristical 1y the divisor d (E) of an A-module E is the ideal of A packing the most … category
T of finitely generated torsion modules of finite projective dimension over a Noether-ian ring A…

… This book on modern module and noncommutative ring … do ring and module theory, rather
than strive for encyclopedic coverage. There is a whole chapter which develops useful module …

… The concept of a resolving subcategory of an abelian category was introduced … category
of finitely generated modules over a noetherian ring the full subcategory consisting of modules …

… Their homotopy categories are what we call the stable module category of the ring R. There
is … homotopy theory on modules over a Gorenstein ring generalizes to a homotopy theory on …

… category H(Y) as a categorification of the ring of differential operators on Y. Likewise, QCoh(Y)
corresponds to the left D-module … categories of quasicoherent sheaves and D-modules (…

… for monoidal, symmetric monoidal and braided monoidal categories. In section 2 we extend
these results to categories with a coherent ring structure which we call lax G-ring categories. …

… something resembling an analytification in the category of adic spaces, in that there is a
morphism into it from an adic space built out categories of of the coherent rings sheaves R [ s, r ] …

… left R-module is finitely presented. The FP-injective modules, flat modules, coherent rings and
their … In 1994, Costa introduced the concept of left n-coherent rings in [4]. According to [4], a …