Steadiness of polynomial rings
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Steadiness of polynomial rings
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| Creator |
Zemlicka, J.
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| Description |
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 such that EndR(S) is finitely generated over its center for every simple module S form a right steady ring iff the set of variables is countable. Moreover, every polynomial ring in uncountably many variables is non-steady.
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| Date |
2019-06-16T05:56:46Z
2019-06-16T05:56:46Z 2010 |
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| Type |
Article
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| Identifier |
Steadiness of polynomial rings / J. Zemlicka // Algebra and Discrete Mathematics. — 2010. — Vol. 10, № 2. — С. 107–117. — Бібліогр.: 13 назв. — англ.
2000 Mathematics Subject Classification:16S36, 16D10. http://dspace.nbuv.gov.ua/handle/123456789/154871 |
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| Language |
en
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| Relation |
Algebra and Discrete Mathematics
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| Publisher |
Інститут прикладної математики і механіки НАН України
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