… that coherent rings appear as such named, in Bourbaki. From 1966 on, coherence in commutative
rings … Assume that R and S are local rings and that ◊ is a local homomorphism, then a …

… We denote a commutative ring by R, G will denote a group of automorphisms of Rand RG
the … regularity for local coherent rings, Vasconcelos 35, in 1976, dropped the" local" condition …

… Thomason filtrations of the Zariski spectrum of a commutative ring. At this point we are now
… locally coherent additive category, which is a generalisation of the notion of local coherence …

… Let A be a commutative ring, B an A-algebra of finite presentation and E a finitely generated
… Then drawing upon the structure theory of local rings of global dimension two, we will apply …

… Throughout this paper all rings considered will be commutative rings with identity. We shall
… Since R is a quasi-local ring we must have say that Ann, Ra= R. But then a= 0, and this …

… rings are commutative with unit, all modules are unital, and a local ring means a, not necessarily
Noetherian, ring … coherent Gaussian rings, arithmetical rings, and the strange Gaussian …

… commutative ring with 1. The purpose of this paper is to provide two new characterizations of
coherent rings. … (1) Let R be a commutative Noetherian local ring with maximal ideal M; let E …

… commutative coherent ring A, then As must also be coherent. … a semi-local ring is coherent,
then A is also coherent. Then an … some results on coherent modules over commutative rings. …

… 3.19, for the locally coherent Grothendieck categories we are most interested in, that is
the hearts of intermediate restrictable t-structure over commutative noetherian rings, the two …

… All rings in this paper are commutative with unity and modules … ),if 𝒫 is a ring property,we say
that a ring R is locally 𝒫 if R M has 𝒫 … ring R with Krull dimension 0,which is locally coherent. …