| 词汇 | noetherian |
| 释义 | BETA Examples of noetheriannoetherian isn’t in the Cambridge Dictionary yet. You can help! It is possible to modify his approach, using a noetherian partial ordering as before, and using noetherian induction rather than transfinite induction. But it is interesting, because it does not a priori require such strong assumptions as to find a noetherian and confluent rewriting system. In particular, if is noetherian, we see that any sequence of rewritings must eventually stop with an irreducible word. Therefore, is well-founded and a noetherian induction on is possible. In the sequel we proceed by noetherian induction on this ordering. We prove the result by noetherian induction. Thus, we easily obtain that the restricted substitution rules are noetherian and confluent, and we can apply the interpretation technique, through exactly the same steps as before. Any noetherian scheme can be written uniquely as the union of finitely many maximal irreducible non-empty closed subsets, called its irreducible components. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. Thus, a scheme is noetherian if and only if it is locally noetherian and quasi-compact. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. It concerns a closed immersion of schemes (regular, noetherian) that is purely of codimension "d", and the relative local cohomology in the tale theory. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. More generally, a scheme is locally noetherian if it is covered by spectra of noetherian rings. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. A locally noetherian scheme is a locally noetherian formal scheme in the canonical way: the formal completion along itself. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. Practically all noetherian rings that appear in application are catenary. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. Noetherian modules over arbitrary rings are always finitely generated. Conversely, a noetherian integrally closed domain is completely integrally closed. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. There are also equivalent conditions for non-noetherian integral domains. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. In other words, because infinite dimensional modules are not generally reflexive, the theory of dualities applies more easily to finitely generated algebras over noetherian rings. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. Dvissage is an adaptation of a certain kind of noetherian induction. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. |
反思网英语在线翻译词典收录了377474条英语词汇在线翻译词条，基本涵盖了全部常用英语词汇的中英文双语翻译及用法，是英语学习的有利工具。