Partial Abelianization of Free Product of Algebras
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DOI: 10.1134/s1995080221100115
Abstract: In this article we consider partial abelianization of associative algebra with respect to a subalgebra. This notion is a generalization of usual abelianization of associative algebra and has an application in Quantum Mechanics and Quantum… read more here.
Keywords: abelianization free; abelianization; free product; product algebras ... See more keywords
Freely indecomposable almost free groups with free abelianization
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DOI: 10.1515/jgth-2019-0102
Abstract: Abstract For certain uncountable cardinals κ, we produce a group of cardinality κ which is freely indecomposable, strongly κ-free, and whose abelianization is free abelian of rank κ. The construction takes place in Gödel’s constructible… read more here.
Keywords: abelianization; free groups; freely indecomposable; groups free ... See more keywords