Unital locally matrix algebras and Steinitz numbers-Reference-Cited by-同舟云学术

Unital locally matrix algebras and Steinitz numbers

Published:2019-10-11 Issue:09 Volume:19 Page:2050180
ISSN:0219-4988
Container-title:Journal of Algebra and Its Applications
language:en
Short-container-title:J. Algebra Appl.

Author:

Bezushchak Oksana¹²,Oliynyk Bogdana¹²

Affiliation:

1. Faculty of Mechanics and Mathematics, Taras Shevchenko National University of Kyiv, Volodymyrska, 64, Kyiv 01033, Ukraine

2. Department of Mathematics, National University of Kyiv-Mohyla Academy, Skovorody St. 2, Kyiv 04070, Ukraine

Abstract

An [Formula: see text]-algebra [Formula: see text] with unit [Formula: see text] is said to be a locally matrix algebra if an arbitrary finite collection of elements [Formula: see text] from [Formula: see text] lies in a subalgebra [Formula: see text] with [Formula: see text] of the algebra [Formula: see text], that is isomorphic to a matrix algebra [Formula: see text], [Formula: see text]. To an arbitrary unital locally matrix algebra [Formula: see text], we assign a Steinitz number [Formula: see text] and study a relationship between [Formula: see text] and [Formula: see text].

Funder

IMPAN from the Simons Foundation

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219498820501807

Reference9 articles.

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