A characterization of finite abelian groups via

更新时间:2023-07-28 08:46:20 阅读: 评论:0

护肤品有哪些A characterization of finite abelian groups via ts
of lengths in transfer Krull monoids 期刊名称: Communications in Algebra
作者: Zhong, Qinghai
复方板蓝根颗粒年份: 2018年员工宿舍管理规定
关键词: 11B30;11R27;13A05;13F05;20M13广东省高温补贴>振字五笔怎么打
摘要:LetHbe a transfer Krull monoid over a finite abelian groupG(for example, rings of integers, holomorphy rings in algebraic function fields, and regular congruence monoids in the domains). Then each nonunita∈Hcan be written as a product of irreducible elements, saya=u1…uk, and the number of factorskis called the length of the factorization. The tL(a) of all possible factorization lengths is
学校意识形态工作计划the t of lengths ofa. It is classical that the systemℒ(H) = {L(a)∣a∈H} of all ts of lengths depends only on the groupG, and a standing conjecture states that converly the systemℒ(H) is characteristic f
空调制冷差or the groupG. LetH′be a further transfer Krull monoid over a finite abelian groupG′and suppo thatℒ(H) =ℒ(H′). We prove that, ifG≅Cnrwithr≤n−3 or (r≥n−1≥2 andnis a prime power), thenGandG′are isomorphic.
法庭辩论
内容由中国教育图书进出口有限公司引进

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