Commutative Ring Theory

Paul-Jean Cahen, Marco Fontana, Evan Houston, Salah-Eddine Kabbaj

• Group rings R[G] with 4-generated ideals when R is an Artinian principal ideal ring; quotients of unit groups of commutative rings; some remarks on G-noetherian rings; some remarks on the ring R; factorization in K[S]; pseudo-valuation rings; some factorization properties of A+XB[X] domains; on spectral binary relation; Puiseux's theorem for generalized power series field; the first braided homology group; ring isomorphisms of Jordan-Banach algebras; nonfinite heights; on weakly semi-Steinitz rings; the dimension of tensor products of AF-rings; the special trace property; Krull and valuative dimension of the Serre conjecture ring Rn;Skolem properties for several indeterminates; communitativity of normed algebras satisfying Ex2=Ex for every x; mixed grading on polynomial rings; canonical module and one-dimensional analytically irreducible Arf domains; filtrations, Pruferian closure relative to a module; on minimal generating sets of modules over a special principal ideal ring; the expected weighted dimension of a sum of vector spaces; N-coherent rings and modules; on Braided homology. (Part contents).