𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Finitely Generated Projective Modules over Row and Column Finite Matrix Rings

✍ Scribed by Juan Jacobo Simón


Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
226 KB
Volume
208
Category
Article
ISSN
0021-8693

No coin nor oath required. For personal study only.


📜 SIMILAR VOLUMES


Finitely Generated Modules over Pullback
✍ David M. Arnold; Reinhard C. Laubenbacher 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 273 KB

The purpose of this paper is to outline a new approach to the classification of finitely generated indecomposable modules over certain kinds of pullback rings. If R is the pullback of two hereditary noetherian homogeneously serial rings, finitely generated over their centers, over a common semi-simp

Hereditary Noetherian Prime Rings 2. Fin
✍ Lawrence S Levy; J.Chris Robson 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 219 KB

Let R be a hereditary Noetherian prime ring. We determine a full set of invariants for the isomorphism class of any finitely generated projective R-module of uniform dimension at least 2. In particular we prove that P ⊕ X ∼ = Q ⊕ X implies P ∼ = Q whenever P has uniform dimension at least 2. Among t

Relating Properties of a Ring and Its Ri
✍ Victor Camillo; F.J Costa-Cano; J.J Simón 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 117 KB

Mackey and Ornstein proved that if R is a semi-simple ring then the ring of row Ž Ž . . and column finite matrices over R RCFM R is a Baer ring for any infinite set ⌫ Ž . ⌫. A ring with identity is a Baer ring if every left equivalent every right annihilator is generated by an idempotent. This resul

Finite Length and Pure-Injective Modules
✍ Gennadi Puninski 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 123 KB

ww xx Let k be an algebraically closed field of characteristic zero, O O s k x , . . . , x n 1 n the ring of formal power series over k, and D D the ring of differential operators n over O O . Suppose that is a prime ideal of O O of height n y 1; i.e., A s O O r is a n n n curve. We prove that every

Orthogonality Matrices for Modules over
✍ Marcus Greferath 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 106 KB

MacWilliams' equivalence theorem states that Hamming isometries between linear codes extend to monomial transformations of the ambient space. One of the most elegant proofs for this result is due to K. P. Bogart et al. (1978, Inform. and Control 37, 19-22) where the invertibility of orthogonality ma