abelian group

读音

• /əˈbi.li.ən ɡɹup/ 美式發音
• /əˈbil.jən ɡɹup/ 美式發音

释义

1. 阿貝爾群，交換群

   代數

   Let G and H be partially ordered abelian groups. A positive homomorphism from G to H is any abelian group

   1986年，Partially Ordered Abelian Groups with Interpolation，美國數學學會，2010年平裝再版，第12頁,

   Chapter 2 is a brief introduction to some fundamental techniques for countable torsion-free abelian groups.

   2000年，David Arnold，Abelian Groups and Representations of Finite Partially Ordered Sets，Springer，第1版平裝再版，第74頁,

   By the end of Chapter 2 we had the full power of the Pontryagin Duality Theorem for compact abelian groups and for discrete abelian groups. Locally compact abelian groups are much closer to compact abelian groups than is apparent at first sight.

   到第2章結束時，我們已經掌握了緊緻阿貝爾群和離散阿貝爾群的龐特里亞金對偶定理的全部力量。局部緊緻阿貝爾群與緊緻阿貝爾群的相似性比乍看之下更為接近。

   2013，Karl H. Hofmann，Sidney A. Morris，The Structure of Compact Groups: A Primer for the Student: A Handbook for the Expert，Walter de Gruyter，299頁：