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Titlebook: Exercises in Abelian Group Theory; Grigore Călugăreanu,Simion Breaz,Dumitru Vălcan Book 2003 Springer Science+Business Media Dordrecht 200

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发表于 2025-3-21 16:55:35 | 显示全部楼层 |阅读模式
书目名称Exercises in Abelian Group Theory
编辑Grigore Călugăreanu,Simion Breaz,Dumitru Vălcan
视频video
丛书名称Texts in the Mathematical Sciences
图书封面Titlebook: Exercises in Abelian Group Theory;  Grigore Călugăreanu,Simion Breaz,Dumitru Vălcan Book 2003 Springer Science+Business Media Dordrecht 200
描述This book, in some sense, began to be written by the first author in 1983, when optional lectures on Abelian groups were held at the Fac­ ulty of Mathematics and Computer Science,‘Babes-Bolyai‘ University in Cluj-Napoca, Romania. From 1992,these lectures were extended to a twosemester electivecourse on abelian groups for undergraduate stu­ dents, followed by a twosemester course on the same topic for graduate students in Algebra. All the other authors attended these two years of lectures and are now Assistants to the Chair of Algebra of this Fac­ ulty. The first draft of this collection, including only exercises solved by students as home works, the last ten years, had 160pages. We felt that there is a need for a book such as this one, because it would provide a nice bridge between introductory Abelian Group Theory and more advanced research problems. The book InfiniteAbelianGroups, published by LaszloFuchsin two volumes 1970 and 1973 willwithout doubt last as the most important guide for abelian group theorists. Many exercises are selected from this source but there are plenty of other bibliographical items (see the Bibliography) which were used in order to make up this collection
出版日期Book 2003
关键词Abelian group; Group theory; Lattice; algebra; topological group
版次1
doihttps://doi.org/10.1007/978-94-017-0339-0
isbn_softcover978-90-481-6249-9
isbn_ebook978-94-017-0339-0Series ISSN 0927-4529
issn_series 0927-4529
copyrightSpringer Science+Business Media Dordrecht 2003
The information of publication is updating

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https://doi.org/10.1007/978-94-017-0339-0Abelian group; Group theory; Lattice; algebra; topological group
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,Introduction: Waismann’s Rocky Strata,d prime ., we obtain the notion of .. A . is . if it has no nonzero divisible subgroups. Note that if the equation . has solutions then we also say that ., and we write .. Obviously, if . and ord(.) are coprime then .. Clearly if ., and . then ..|. if and only if ....
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Volksseele und objektiver Geist,re called open .. A subset . of . is said to be a ciosed set if the set . is open. If . ⊆ . the set B̄ = n{F | F is closed, . ⊆ . called .. Clearly . ⊆ . is closed if and only if . = .. If . ⊆ . the set .. = {. n . | . ∈ .} is a topology on ., called the relative . induced by . on ..
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Volksseele und objektiver Geist,re called open .. A subset . of . is said to be a ciosed set if the set . is open. If . ⊆ . the set B̄ = n{F | F is closed, . ⊆ . called .. Clearly . ⊆ . is closed if and only if . = .. If . ⊆ . the set .. = {. n . | . ∈ .} is a topology on ., called the relative . induced by . on ..
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Topological groupsre called open .. A subset . of . is said to be a ciosed set if the set . is open. If . ⊆ . the set B̄ = n{F | F is closed, . ⊆ . called .. Clearly . ⊆ . is closed if and only if . = .. If . ⊆ . the set .. = {. n . | . ∈ .} is a topology on ., called the relative . induced by . on ..
发表于 2025-3-23 08:37:35 | 显示全部楼层
Friedrich Trendelenburg 1844–1924Throughout this book by a group . we an mean . (i.e., commutative) group using for the binary operation the additive notation. The . is the cardinal number |.| of the set of its elements. If |.| is a finite (countable) cardinal number then . is called a ..
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