arXivDaily arXiv每日学术速递 周一至周五更新
arXiv周末暂无论文更新,休息一下吧,周末愉快~~
arXiv 0809.4343math.CTmath.LO
收藏

Q-模是Q-超格

Q-modules are Q-suplattices

Isar Stubbe

摘要:

众所周知,一个场所上的绳轮拓扑中的内部子格正是该场所上的模。利用丰富的范畴论和引理的KZ理论,我们证明(推广)这一事实的情况下,有序层的一个小quantaloid。比较了量子面的模等价与层等价,并利用量子面中心的概念,改进了F. Borceux和E.维塔莱

英文摘要:

It is well known that the internal suplattices in the topos of sheaves on a locale are precisely the modules on that locale. Using enriched category theory and a lemma on KZ doctrines we prove (the generalization of) this fact in the case of ordered sheaves on a small quantaloid. Comparing module-equivalence with sheaf-equivalence for quantaloids and using the notion of centre of a quantaloid, we refine a result of F. Borceux and E. Vitale.

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。

↑