✦ LIBER ✦

Projective Groups over Rings

✍ Scribed by Andrea Blunck

Publisher: Elsevier Science
Year: 2002
Tongue: English
Weight: 185 KB
Volume: 249
Category: Article
ISSN: 0021-8693
DOI: 10.1006/jabr.2001.9064

No coin nor oath required. For personal study only.

✦ Synopsis

In this paper, Mäurer's theorems characterizing certain subgroups of the projective group PGL 2 K over a field K are generalized to the case of rings.  2002 Elsevier Science (USA)

📜 SIMILAR VOLUMES

Abelian Groups Projective over Their End

Abelian Groups Projective over Their Endomorphism Rings

✍ G.P. Niedzwecki; J.D. Reid 📂 Article 📅 1993 🏛 Elsevier Science 🌐 English ⚖ 362 KB

Projective Modules over Witt Rings

✍ Robert W. Fitzgerald 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 250 KB

For several classes of commutative rings R it is known that every finitely generated projective R-modules is isomorphic to a direct sum of a free w x R-module and an invertible ideal of R. For instance, Steinitz 27 essenw x tially proved this for Dedekind domains. Serre 25 proved the same result for

Projective modules over polynomial rings

Projective modules over polynomial rings: a constructive approach

✍ S. Barhoumi; H. Lombardi; I. Yengui 📂 Article 📅 2009 🏛 John Wiley and Sons 🌐 English ⚖ 138 KB

## Abstract We give a constructive proof of the fact that finitely generated projective modules over a polynomial ring with coefficients in a Prüfer domain **R** with Krull dimension ≤ 1 are extended from **R**. In particular, we obtain constructively that finitely generated projective **R**[__X__~

Gorenstein projective and flat complexes

Gorenstein projective and flat complexes over noetherian rings

✍ E. Enochs; S. Estrada; A. Iacob 📂 Article 📅 2012 🏛 John Wiley and Sons 🌐 English ⚖ 235 KB

## Abstract We give sufficient conditions on a class of __R__‐modules \documentclass{article}\usepackage{amssymb}\begin{document}\pagestyle{empty}$\mathcal {C}$\end{document} in order for the class of complexes of \documentclass{article}\usepackage{amssymb}\begin{document}\pagestyle{empty}$\mathcal

Cancellation Properties of Projective Mo

Cancellation Properties of Projective Modules over Laurent Polynomial Rings

✍ A. Wiemers 📂 Article 📅 1993 🏛 Elsevier Science 🌐 English ⚖ 469 KB

The Structure of Countably Generated Pro

The Structure of Countably Generated Projective Modules Over Regular Rings

✍ P. Ara; E. Pardo; F. Perera 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 287 KB

We prove that, for every regular ring R, there exists an isomorphism between the monoids of isomorphism classes of finitely generated projective right modules Ž Ž . . Ž . over the rings End R and RCFM R , where the latter denotes the ring of R R countably infinite row-and column-finite matrices over