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math.RA2020
Derivations and automorphisms of locally matrix algebras
Oksana Bezushchak
We describe derivations and automorphisms of infinite tensor products of matrix algebras. Using this description we show that for a countable--dimensional locally matrix algebra $A…
math.RA2020
Hamming spaces and locally matrix algebras
Oksana Bezushchak, Bogdana Oliynyk
We introduce an abstract definition of a Hamming space that generalizes standard Hamming spaces . We classify countable locally standard Hamming spa…
math.RA2020
Morita equivalent unital locally matrix algebras
Oksana Bezushchak, Bogdana Oliynyk
We describe Morita equivalence of unital locally matrix algebras in terms of their Steinitz parametrization. Two countable dimensional unital locally matrix algebras are Morita equ…