Locally standard measure algebras

Oksana Bezushchak; Bogdana Oliynyk

doi:10.1142/S0219498824500774

Locally standard measure 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

Abstract

We parameterize countable locally standard Boolean measure algebras by pairs of a Steinitz number and a real number greater or equal to 1. This is an analog of the theorems of Dixmier and Baranov.

Original language	English
Article number	2450077
Journal	Journal of Algebra and its Applications
Volume	23
Issue number	4
DOIs	https://doi.org/10.1142/S0219498824500774
Publication status	Published - 1 Mar 2024

Keywords

Boolean algebra
Hamming space
Measure algebra
Steinitz number
locally matrix algebra

ASJC Scopus subject areas

Algebra and Number Theory
Applied Mathematics

Access to Document

10.1142/S0219498824500774

Cite this

@article{0d8192a8956045ea8c5257df0e57c306,

title = "Locally standard measure algebras",

abstract = "We parameterize countable locally standard Boolean measure algebras by pairs of a Steinitz number and a real number greater or equal to 1. This is an analog of the theorems of Dixmier and Baranov.",

keywords = "Boolean algebra, Hamming space, Measure algebra, Steinitz number, locally matrix algebra",

author = "Oksana Bezushchak and Bogdana Oliynyk",

note = "Publisher Copyright: {\textcopyright} 2024 World Scientific Publishing Company.",

year = "2024",

month = mar,

day = "1",

doi = "10.1142/S0219498824500774",

language = "English",

volume = "23",

journal = "Journal of Algebra and its Applications",

issn = "0219-4988",

publisher = "World Scientific Publishing Co. Pte Ltd",

number = "4",

}

TY - JOUR

T1 - Locally standard measure algebras

AU - Bezushchak, Oksana

AU - Oliynyk, Bogdana

PY - 2024/3/1

Y1 - 2024/3/1

N2 - We parameterize countable locally standard Boolean measure algebras by pairs of a Steinitz number and a real number greater or equal to 1. This is an analog of the theorems of Dixmier and Baranov.

AB - We parameterize countable locally standard Boolean measure algebras by pairs of a Steinitz number and a real number greater or equal to 1. This is an analog of the theorems of Dixmier and Baranov.

KW - Boolean algebra

KW - Hamming space

KW - Measure algebra

KW - Steinitz number

KW - locally matrix algebra

UR - https://www.scopus.com/pages/publications/85146273726

U2 - 10.1142/S0219498824500774

DO - 10.1142/S0219498824500774

M3 - Article

AN - SCOPUS:85146273726

SN - 0219-4988

VL - 23

JO - Journal of Algebra and its Applications

JF - Journal of Algebra and its Applications

IS - 4

M1 - 2450077

ER -

Locally standard measure algebras

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this