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Description
Infinite Abelian GroupsIn the Introduction to this concise monograph, the author states his two main goals: first, "to make the theory of infinite abelian groups available in a convenient form to the mathematical public; second, to help students acquire some of the techniques used in modern infinite algebra." Suitable for advanced undergraduates and graduate students in mathematics, the text requires no extensive background beyond the rudiments of group theory. Starting
In the Introduction to this concise monograph, the author states his two main goals: first, "to make the theory of infinite abelian groups available in a convenient form to the mathematical public; second, to help students acquire some of the techniques used in modern infinite algebra." Suitable for advanced undergraduates and graduate students in mathematics, the text requires no extensive background beyond the rudiments of group theory.Starting with examples of abelian groups, the treatment explores torsion groups, Zorn's lemma, divisible groups, pure subgroups, groups of bounded order, and direct sums of cyclic groups. Subsequent chapters examine Ulm's theorem, modules and linear transformations, Banach spaces, valuation rings, torsion-free and complete modules, algebraic compactness, characteristic submodules, and the ring of endomorphisms. Many exercises appear throughout the book, along with a guide to the literature and a detailed bibliography.
Binding Type: Paperback
Publisher: Dover Publications
Published: 12/18/2018
ISBN: 9780486828503
Pages: 112
Weight: 0.30lbs
Size: 8.90h x 5.90w x 0.20d
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★★★★★ 5
Valet Tray
Size: 8.5" x 5.8" x 1.9", Color: Black
Perfect!
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Reviewed in the United States on April 7, 2026
★★★★★ 5
Just lovely
Size: 8.5" x 5.8" x 1.9", Color: Orange
Purchased this several months ago and liked it, but I had received so many complements on this tray since then I had to submit this review. The tray is sturdy and put together well, and the size is exactly what was given before purchase.
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Reviewed in the United States on May 27, 2026
★★★★★ 5
So Much Fun! High Quality & Perfect Alexa Smart Integration.
Color: Black
I use these Govee RGBIC Light Bars every single day in my room, and they have completely upgraded the vibe of my workspace. If you want to add some serious personality to your setup, these are an absolute must.
The fit is perfect right behind my monitor, completely transforming the overall appearance of my desk area. I have them seamlessly connected to Alexa, so all I have to do is say, "Alexa, turn on my Govee lights," and they click right on. While you can use a remote control or the app, the voice activation makes them incredibly convenient.
It is just a lot of fun to play with the different settings. You can change the colors instantly to give the room whatever mood or feel you are in the mood for. The build quality feels solid, and after months of daily, continuous use, the durability is excellent with no flickering or dimming. It has truly added a new level of enjoyment and style to my office space.
PROS:
High-quality appearance that makes any desk or TV setup look professional
Tons of fun color combinations and dynamic mood settings
Flawless smart home compatibility with Alexa
Great durability for daily, long-term use
CONS:
There are so many features and color modes in the Govee app that it can take a little bit of time to learn where everything is, but it is worth it.
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Reviewed in the United States on May 23, 2026
★★★★★ 5
Perfection for my space
Color: Black
I already own a few led lights from this company but these are on edge they deserve 500/10 stars in installation was extremely easy controlling with the app and the included remote controller which is wired they are extremely fun to use and very high quality light bars that are a great fit almost anywhere the versatility is great and can be used at any mood or time with the app or wired controller Thank you GOVEE
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Reviewed in the United States on May 26, 2026
★★★★★ 5
Cool light bars
Color: Black
Lights work great. Easy to install and connect to the app. Endless color options and they fit perfect on my desk. I stuck two of the behind my monitor and two on the side to make nice ambient light. I like that you dont need the app to turn on the lights.
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Reviewed in the United States on April 1, 2026