Further Properties and Applications of Koszul Pairs
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Further Properties and Applications of Koszul Pairs
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| Creator |
Manea, A.
Ştefan, D. |
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| Description |
Koszul pairs were introduced in [arXiv:1011.4243] as an instrument for the study of Koszul rings. In this paper, we continue the enquiry of such pairs, focusing on the description of the second component, as a follow-up of the study in [arXiv:1605.05458]. As such, we introduce Koszul corings and prove several equivalent characterizations for them. As applications, in the case of locally finite R-rings, we show that a graded R-ring is Koszul if and only if its left (or right) graded dual coring is Koszul. Finally, for finite graded posets, we obtain that the respective incidence ring is Koszul if and only if the incidence coring is so.
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| Date |
2019-02-16T09:24:43Z
2019-02-16T09:24:43Z 2016 |
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| Type |
Article
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| Identifier |
Further Properties and Applications of Koszul Pairs / A. Manea, D. Ştefan // Symmetry, Integrability and Geometry: Methods and Applications. — 2016. — Т. 12. — Бібліогр.: 17 назв. — англ.
1815-0659 2010 Mathematics Subject Classification: 16E40; 16T10; 16T15 DOI:10.3842/SIGMA.2016.092 http://dspace.nbuv.gov.ua/handle/123456789/147858 |
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| Language |
en
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| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
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| Publisher |
Інститут математики НАН України
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