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arXiv math/0604037math.RA
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引入晶体分次代数

Introducing Crystalline Graded Algebras

Erna Nauwelaerts, Freddy Van Oystaeyen

摘要:

引入了一类新的分次环,它是广义Weyl代数的推广.这些环是最一般类型的交叉积中的阶,我们介绍它们的基本结构理论。我们提供了一个广泛的例子列表,其中一些是全新的,但也有一些是以前考虑过的,并强调了一些具体的结构结果。这将为分次环的研究提供新的思路。

英文摘要:

We introduce a new class of graded rings extending the class of generalized Weyl algebras. These rings are orders in crossed products of the most general type, and we introduce their basic structure theory. We provide an extensive list of examples, some completely new but also some considered earlier, and highlight some specific structure results. Many new and interesting problems about the crystalline graded rings may be identified.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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