Baer-Kaplansky classes of vector spaces and modules determined by numerical invariants
G D'Este, DK Tütüncü, R Tribak - Communications in Algebra, 2023 - Taylor & Francis
G D'Este, DK Tütüncü, R Tribak
Communications in Algebra, 2023•Taylor & FrancisWe show that reasonably large classes C of vector spaces, modules over noncommutative
algebras and abelian groups are Baer-Kaplansky classes with additional properties. Indeed,
modules in C such that their endomorphism rings are isomorphic vector spaces, or modules
such that their endomorphism rings are isomorphic vector spaces with the same number of
primitive idempotents may be actually isomorphic.
algebras and abelian groups are Baer-Kaplansky classes with additional properties. Indeed,
modules in C such that their endomorphism rings are isomorphic vector spaces, or modules
such that their endomorphism rings are isomorphic vector spaces with the same number of
primitive idempotents may be actually isomorphic.
Abstract
We show that reasonably large classes of vector spaces, modules over noncommutative algebras and abelian groups are Baer-Kaplansky classes with additional properties. Indeed, modules in such that their endomorphism rings are isomorphic vector spaces, or modules such that their endomorphism rings are isomorphic vector spaces with the same number of primitive idempotents may be actually isomorphic.
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