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Further Properties and Applications of Koszul Pairs
Репозиторій DSpace/Manakin
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- Фізико-технічні та математичні науки
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- Відділення математики
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- Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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- Symmetry, Integrability and Geometry: Methods and Applications, 2016, том 12
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- Symmetry, Integrability and Geometry: Methods and Applications, 2016, том 12, випуск за цей рік
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Further Properties and Applications of Koszul Pairs
Інший ID:
2010 Mathematics Subject Classification: 16E40; 16T10; 16T15
DOI:10.3842/SIGMA.2016.092
DOI:10.3842/SIGMA.2016.092
Посилання:
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.
Підтримка:
Both authors were financially supported by CNCS-UEFISCDI, project PCE PN-II-ID-PCE2011-3-0635.
Дата:
2016
Переглядів:
555
Завантажень:
225
Анотація:
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.
