Steadiness of polynomial rings
A module M is said to be small if the functor Hom(M,−) commutes with direct sums and right steady rings are exactly those rings whose small modules are necessary finitely generated. We give several results on steadiness of polynomial rings, namely we prove that polynomials over a right perfect ring...
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Date: | 2010 |
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Main Author: | |
Format: | Article |
Language: | English |
Published: |
Інститут прикладної математики і механіки НАН України
2010
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Series: | Algebra and Discrete Mathematics |
Online Access: | http://dspace.nbuv.gov.ua/handle/123456789/154871 |
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Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
Cite this: | Steadiness of polynomial rings / J. Zemlicka // Algebra and Discrete Mathematics. — 2010. — Vol. 10, № 2. — С. 107–117. — Бібліогр.: 13 назв. — англ. |