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Infinite Abelian groups
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The article was published on 1970-01-01 and is currently open access. It has received 2613 citations till now. The article focuses on the topics: Elementary abelian group & Rank of an abelian group.read more
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Modules with the summand intersection property
TL;DR: In this paper, the sum-arm intersection property is used to define the summand intersection property of modules with the summan intersection property, which is a special case of the intersection property.
Journal Article
On what I do not understand (and have something to say): Part I
TL;DR: A non-standard paper, containing some problems in set theory I have in various degrees been interested in this article, contains a discussion on what I have to say; sometimes, of what makes them interesting to me, sometimes the problems are presented with a discussion of how I have tried to solve them, and sometimes with failed tries, anecdote and opinion.
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Simple groups of finite Morley rank
TL;DR: In this paper, the authors present a plan of attack for the Quasithin groups and show that strong embedding and weak embedding can be used to construct even type groups.
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The structure of skew products with ergodic group automorphisms
TL;DR: In this article, it was shown that ergodic automorphisms of compact groups are Bernoulli shifts, and that skew products with such automomorphisms are isomorphic to direct products, and the set of possible values for entropy is one of two alternatives depending on the answer to an open problem in algebraic number theory.
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Seven Lectures on the Universal Algebraic Geometry
TL;DR: In this paper, the main idea of universal algebraic geometry is to consider interactions between algebra, logic and geometry in algebras from a given variety of algesbras.