Hamming spaces and locally matrix algebras

Oksana Bezushchak; Bogdana Oliynyk

doi:10.1142/S0219498821501474

Hamming spaces and locally matrix algebras

Oksana Bezushchak
, Bogdana Oliynyk

Department of Mathematics (RMS/RMS1)

Kyiv National Taras Shevchenko University
National University of Kyiv Mohyla-Academy

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

Abstract

We study an abstract class of Hamming spaces (known also as measure algebras) that generalizes standard Hamming spaces (2)n. We classify countable locally standard Hamming spaces and show that each of them can be realized as the Boolean algebra of idempotents of a Cartan subalgebra of a locally matrix algebra.

Original language	English
Article number	2150147
Journal	Journal of Algebra and its Applications
Volume	20
Issue number	8
DOIs	https://doi.org/10.1142/S0219498821501474
Publication status	Published - Aug 2021

Keywords

Cartan subalgebra
Hamming space
Steinitz number
Unital algebra
locally matrix algebra
measure algebra

ASJC Scopus subject areas

Algebra and Number Theory
Applied Mathematics

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10.1142/S0219498821501474

Cite this

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title = "Hamming spaces and locally matrix algebras",

abstract = "We study an abstract class of Hamming spaces (known also as measure algebras) that generalizes standard Hamming spaces (2)n. We classify countable locally standard Hamming spaces and show that each of them can be realized as the Boolean algebra of idempotents of a Cartan subalgebra of a locally matrix algebra.",

keywords = "Cartan subalgebra, Hamming space, Steinitz number, Unital algebra, locally matrix algebra, measure algebra",

author = "Oksana Bezushchak and Bogdana Oliynyk",

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AB - We study an abstract class of Hamming spaces (known also as measure algebras) that generalizes standard Hamming spaces (2)n. We classify countable locally standard Hamming spaces and show that each of them can be realized as the Boolean algebra of idempotents of a Cartan subalgebra of a locally matrix algebra.

KW - Cartan subalgebra

KW - Hamming space

KW - Steinitz number

KW - Unital algebra

KW - locally matrix algebra

KW - measure algebra

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DO - 10.1142/S0219498821501474

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Hamming spaces and locally matrix algebras

Abstract

Keywords

ASJC Scopus subject areas

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