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math.RA2019
On primary decompositions of unital locally matrix algebras
Oksana Bezushchak, Bogdana Oliynyk
We construct a unital locally matrix algebra of uncountable dimension that (1) does not admit a primary decomposition, (2) has an infinite locally finite Steinitz number. It gives…
math.RA2019
Unital locally matrix algebras and Steinitz numbers
Oksana Bezushchak, Bogdana Oliynyk
An -algebra with unit is said to be a locally matrix algebra if an arbitrary finite collection of elements from lies in a subalgebra wit…