有限多圈群的子幺半群的半群代数与极大序模
Semigroup algebras of submonoids of polycyclic-by-finite groups and maximal orders
摘要：
给出了有限多圈群G的子么半群S的素诺特代数K[S]为极大序模的充要条件。这些条件完全是关于么半群S的。这扩展了布朗关心的群环的情况下和作者的情况下，K[S]满足多项式身份的早期结果。
英文摘要：
Necessary and sufficient conditions are given for a prime Noetherian algebra K[S] of a submonoid S of a polycyclic-by-finite group G to be a maximal order. These conditions are entirely in terms of the monoid S. This extends earlier results of Brown concerned with the group ring case and of the authors for the case where K[S] satisfies a polynomial identity.
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。
