This book provides the first extensive and systematic treatment of the theory of commutative
coherent rings. It blends, and provides a link, between the two sometimes disjoint …

We give three proofs that valuation rings are derived splinters: a geometric proof using
absolute integral closure, a homological proof which reduces the problem to checking that …

Let R be a ring. Recall that a left R-module M is coherent if every finitely generated
submodule of M is finitely presented. R is a left coherent ring if the left R-module RR is …

Recently, Xiang and Ouyang defined a (commutative unital) ring R to be Nil*-coherent if
each finitely generated ideal of R that is contained in Nil (R) is a finitely presented R-module …

Let be a ring graded by an arbitrary grading abelian group Γ. We say that R is a uniformly
graded-coherent ring if there is a map ϕ: ℕ→ ℕ such that for every n∈ ℕ, and any nonzero …

We consider an arbitrary Abelian category A and a subcategory T closed under extensions
and direct summands, and characterize those T that are (semi-) special preenveloping in A; …

The augmented Iwasawa algebra of a p-adic Lie group is a generalisation of the Iwasawa
algebra of a compact p-adic Lie group. We prove that a split-semisimple group over a p-adic …

The finite conductor property of a domain R-that is the finite generation of the conductor
ideals (1: J) for principal ideals 1 and J of R, came into prominence with the publication of …

It is shown that polynomial rings in finitely or infinitely many central indeterminates, over a
commutative algebraic algebra without nilpotent elements, are coherent. If the coefficient …

Let p be a prime, G be a p-adic Lie group and k be a field of characteristic p. The augmented
Iwasawa algebra kG is a noncommutative algebra extending the construction of the …