A lifting problem for DG modules
| العنوان: | A lifting problem for DG modules |
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| المؤلفون: | Maiko Ono, Yuji Yoshino |
| المصدر: | Journal of Algebra. 566:342-360 |
| بيانات النشر: | Elsevier BV, 2021. |
| سنة النشر: | 2021 |
| مصطلحات موضوعية: | Pure mathematics, Algebra and Number Theory, Degree (graph theory), 010102 general mathematics, Graded ring, Commutative Algebra (math.AC), Mathematics - Commutative Algebra, Adjunction, 01 natural sciences, Bounded function, 0103 physical sciences, FOS: Mathematics, 010307 mathematical physics, 0101 mathematics, Algebra over a field, 13D07, 16E45, Variable (mathematics), Mathematics |
| الوصف: | Let $B = A< X | dX=t >$ be an extended DG algebra by the adjunction of variable of positive even degree $n$, and let $N$ be a semi-free DG $B$-module that is assumed to be bounded below as a graded module. We prove in this paper that $N$ is liftable to $A$ if $Ext_B^{n+1}(N,N)=0$. Furthermore such a lifting is unique up to DG isomorphisms if $Ext_B^{n}(N,N)=0$. 17 pages |
| تدمد: | 0021-8693 |
| URL الوصول: | https://explore.openaire.eu/search/publication?articleId=doi_dedup___::159888838baecaaae0f2c8199ec82b34 https://doi.org/10.1016/j.jalgebra.2020.09.013 |
| حقوق: | OPEN |
| رقم الأكسشن: | edsair.doi.dedup.....159888838baecaaae0f2c8199ec82b34 |
| قاعدة البيانات: | OpenAIRE |
| تدمد: | 00218693 |
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