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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
compact flosser
Color: Green
works well for me when traveling does not leak not expensive and compact
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Reviewed in the United States on May 31, 2026
★★★★★ 1
Will not charge after 1 month
Color: Pink
Liked this product, compact, good water pressure, easy to travel with, but I just tried to charge it for the 1st time after about a month of use and it will not register a charge. I've tried a bunch of different cables. It's just a hunk of useless plastic now and there's no way to contact the seller without leaving a review, which was not my preference.
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Reviewed in the United States on May 31, 2026
★★★★★ 5
Very Strong Flosser! Works great!
Color: Green
Really strong flosser! There are multiple settings for flow type. You may want to reconsider if you have very sensitive gums. The irrigation is pretty strong. It does get all the stuff you thought you flossed away, out of your teeth, gums and mouth. Good battery, it lasts for weeks to maybe a month and a half with daily use, up to 3 months longer before recharge, if not using everyday. I've tested out both scenarios, while still using a regular string floss daily.
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Reviewed in the United States on February 10, 2026
★★★★★ 5
Totally Satisfied!
Color: Green
I love this, it works better than I expected. I needed a water flosser that was compact to travel with. This one works great! It is very powerful at its highest setting; however, you must work quickly, or you will need to refill the water reservoir before you're able to do your entire mouth. The pulsating setting gives the ability to move around each quadrant of your mouth a little slower. The soft setting works well for my grandson. It does a great job of getting rid of the food particles stuck between your teeth.
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Reviewed in the United States on August 5, 2025
★★★★★ 5
Excellent
Format: Paperback
Perfect condition, perfect service
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Reviewed in the United States on April 13, 2024