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The Structure of Modules over Hereditary Rings (2000)

Tuganbaev, A. A.

Springer

Mathematical notes 68 (2000), S. 627-639

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ISSN: 1573-8876

Keywords: hereditary ring ; projective module ; $${\pi }$$ -projective module

Source: Springer Online Journal Archives 1860-2000

Topics: Mathematics

Notes: Abstract Let A be a bounded hereditary Noetherian prime ring. For an A-module M A , we prove that M is a finitely generated projective $${A \mathord{\left/ {\vphantom {A {r\left( M \right)}}} \right. \kern-\nulldelimiterspace} {r\left( M \right)}}$$ -module if and only if M is a $${\pi }$$ -projective finite-dimensional module, and either M is a reduced module or A is a simple Artinian ring. The structure of torsion or mixed $${\pi }$$ -projective A-modules is completely described.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1023/A:1026675709016

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