✦ LIBER ✦

Rings over which all modules areI0-modules. II

✍ Scribed by A. N. Abyzov; A. A. Tuganbaev

Publisher: Springer US
Year: 2009
Tongue: English
Weight: 135 KB
Volume: 162
Category: Article
ISSN: 1573-8795
DOI: 10.1007/s10958-009-9647-0

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Rings over which all modules areI0-modul

Rings over which all modules areI0-modules

✍ A. A. Tuganbaev 📂 Article 📅 2009 🏛 Springer US 🌐 English ⚖ 120 KB

Rings over which all modules are semireg

Rings over which all modules are semiregular

✍ A. A. Tuganbaev 📂 Article 📅 2008 🏛 Springer US 🌐 English ⚖ 130 KB

Rings over which all cyclic modules are

Rings over which all cyclic modules are poorly injective

✍ A. A. Tuganbaev 📂 Article 📅 1986 🏛 Springer US 🌐 English ⚖ 502 KB

Rings over which all modules of a given

Rings over which all modules of a given type are almost categorical

✍ E. M. Kremer 📂 Article 📅 1984 🏛 Springer US 🌐 English ⚖ 825 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

SCr Modules over Local Rings

✍ Jee Heub Koh 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 134 KB

We show that the following two conditions, for each integer r G 1, are equivalent for a finitely generated module M over a complete Noetherian local ring Ž . R, ᒊ : embeddable in E r , where E denotes the injective hull of the residue field Rrᒊ. Ž . r Ž . b Either M ; E , or else dim Hom Rrᒊ, M s k