On Weakly Holographic Structures

We introduce and study the notion of weak holographicity for structures, generalizing the notion of holographicity which was earlier introduced by the authors. We prove some general properties of the notion and characterize weakly holographic Boolean algebras, linear orders, abelian groups, and equi...

Full description

Saved in:
Bibliographic Details
Published in:Siberian mathematical journal 2022-11, Vol.63 (6), p.1091-1101
Main Authors: Kasymkhanuly, B., Morozov, A. S.
Format: Article
Language:English
Subjects:
Group theory
Holography
Mathematics
Mathematics and Statistics
Citations: Items that this one cites
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
cited_by
cites cdi_FETCH-LOGICAL-c198t-56e01e52a420d41f3a17603bc008a98594d575be406e2109079b40107c7cd4cf3
container_end_page 1101
container_issue 6
container_start_page 1091
container_title Siberian mathematical journal
container_volume 63
creator Kasymkhanuly, B.
Morozov, A. S.
description We introduce and study the notion of weak holographicity for structures, generalizing the notion of holographicity which was earlier introduced by the authors. We prove some general properties of the notion and characterize weakly holographic Boolean algebras, linear orders, abelian groups, and equivalences. We also make some corrections to the previous paper on holographic structures and strengthen one of its results.
doi_str_mv 10.1134/S003744662206009X
format article
fullrecord <record><control><sourceid>proquest_cross</sourceid><recordid>TN_cdi_proquest_journals_2748375598</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>2748375598</sourcerecordid><originalsourceid>FETCH-LOGICAL-c198t-56e01e52a420d41f3a17603bc008a98594d575be406e2109079b40107c7cd4cf3</originalsourceid><addsrcrecordid>eNp1kE9Lw0AUxBdRsFY_gLeA5-h7-zd7lKJWKPRQRW_LZrOprTGJu8mh374JETyIp3eY-c08hpBrhFtExu82AExxLiWlIAH0-wmZoVAs1VTCKZmNcjrq5-Qixj0AAkg9I8m6Tt68_awOybKpmm2w7cfOJZsu9K7rg4-X5Ky0VfRXP3dOXh8fXhbLdLV-el7cr1KHOutSIT2gF9RyCgXHkllUEljuADKrM6F5IZTIPQfpKYIGpXM-PKGccgV3JZuTmym3Dc1372Nn9k0f6qHSUMUzpoTQ2eDCyeVCE2PwpWnD7suGg0Ew4xDmzxADQycmDt5668Nv8v_QEZJOXIk</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>2748375598</pqid></control><display><type>article</type><title>On Weakly Holographic Structures</title><source>Springer Nature</source><creator>Kasymkhanuly, B. ; Morozov, A. S.</creator><creatorcontrib>Kasymkhanuly, B. ; Morozov, A. S.</creatorcontrib><description>We introduce and study the notion of weak holographicity for structures, generalizing the notion of holographicity which was earlier introduced by the authors. We prove some general properties of the notion and characterize weakly holographic Boolean algebras, linear orders, abelian groups, and equivalences. We also make some corrections to the previous paper on holographic structures and strengthen one of its results.</description><identifier>ISSN: 0037-4466</identifier><identifier>EISSN: 1573-9260</identifier><identifier>DOI: 10.1134/S003744662206009X</identifier><language>eng</language><publisher>Moscow: Pleiades Publishing</publisher><subject>Group theory ; Holography ; Mathematics ; Mathematics and Statistics</subject><ispartof>Siberian mathematical journal, 2022-11, Vol.63 (6), p.1091-1101</ispartof><rights>Pleiades Publishing, Ltd. 2022. Russian Text © The Author(s), 2022, published in Sibirskii Matematicheskii Zhurnal, 2022, Vol. 63, No. 6, pp. 1276–1289.</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><cites>FETCH-LOGICAL-c198t-56e01e52a420d41f3a17603bc008a98594d575be406e2109079b40107c7cd4cf3</cites><orcidid>0000-0001-8647-5629</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>314,777,781,27905,27906</link.rule.ids></links><search><creatorcontrib>Kasymkhanuly, B.</creatorcontrib><creatorcontrib>Morozov, A. S.</creatorcontrib><title>On Weakly Holographic Structures</title><title>Siberian mathematical journal</title><addtitle>Sib Math J</addtitle><description>We introduce and study the notion of weak holographicity for structures, generalizing the notion of holographicity which was earlier introduced by the authors. We prove some general properties of the notion and characterize weakly holographic Boolean algebras, linear orders, abelian groups, and equivalences. We also make some corrections to the previous paper on holographic structures and strengthen one of its results.</description><subject>Group theory</subject><subject>Holography</subject><subject>Mathematics</subject><subject>Mathematics and Statistics</subject><issn>0037-4466</issn><issn>1573-9260</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2022</creationdate><recordtype>article</recordtype><recordid>eNp1kE9Lw0AUxBdRsFY_gLeA5-h7-zd7lKJWKPRQRW_LZrOprTGJu8mh374JETyIp3eY-c08hpBrhFtExu82AExxLiWlIAH0-wmZoVAs1VTCKZmNcjrq5-Qixj0AAkg9I8m6Tt68_awOybKpmm2w7cfOJZsu9K7rg4-X5Ky0VfRXP3dOXh8fXhbLdLV-el7cr1KHOutSIT2gF9RyCgXHkllUEljuADKrM6F5IZTIPQfpKYIGpXM-PKGccgV3JZuTmym3Dc1372Nn9k0f6qHSUMUzpoTQ2eDCyeVCE2PwpWnD7suGg0Ew4xDmzxADQycmDt5668Nv8v_QEZJOXIk</recordid><startdate>20221101</startdate><enddate>20221101</enddate><creator>Kasymkhanuly, B.</creator><creator>Morozov, A. S.</creator><general>Pleiades Publishing</general><general>Springer Nature B.V</general><scope>AAYXX</scope><scope>CITATION</scope><orcidid>https://orcid.org/0000-0001-8647-5629</orcidid></search><sort><creationdate>20221101</creationdate><title>On Weakly Holographic Structures</title><author>Kasymkhanuly, B. ; Morozov, A. S.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c198t-56e01e52a420d41f3a17603bc008a98594d575be406e2109079b40107c7cd4cf3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2022</creationdate><topic>Group theory</topic><topic>Holography</topic><topic>Mathematics</topic><topic>Mathematics and Statistics</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Kasymkhanuly, B.</creatorcontrib><creatorcontrib>Morozov, A. S.</creatorcontrib><collection>CrossRef</collection><jtitle>Siberian mathematical journal</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Kasymkhanuly, B.</au><au>Morozov, A. S.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>On Weakly Holographic Structures</atitle><jtitle>Siberian mathematical journal</jtitle><stitle>Sib Math J</stitle><date>2022-11-01</date><risdate>2022</risdate><volume>63</volume><issue>6</issue><spage>1091</spage><epage>1101</epage><pages>1091-1101</pages><issn>0037-4466</issn><eissn>1573-9260</eissn><abstract>We introduce and study the notion of weak holographicity for structures, generalizing the notion of holographicity which was earlier introduced by the authors. We prove some general properties of the notion and characterize weakly holographic Boolean algebras, linear orders, abelian groups, and equivalences. We also make some corrections to the previous paper on holographic structures and strengthen one of its results.</abstract><cop>Moscow</cop><pub>Pleiades Publishing</pub><doi>10.1134/S003744662206009X</doi><tpages>11</tpages><orcidid>https://orcid.org/0000-0001-8647-5629</orcidid></addata></record>
fulltext fulltext
identifier ISSN: 0037-4466
ispartof Siberian mathematical journal, 2022-11, Vol.63 (6), p.1091-1101
issn 0037-4466
1573-9260
language eng
recordid cdi_proquest_journals_2748375598
source Springer Nature
subjects Group theory
Holography
Mathematics
Mathematics and Statistics
title On Weakly Holographic Structures
url http://sfxeu10.hosted.exlibrisgroup.com/loughborough?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-17T16%3A02%3A39IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest_cross&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=On%20Weakly%20Holographic%20Structures&rft.jtitle=Siberian%20mathematical%20journal&rft.au=Kasymkhanuly,%20B.&rft.date=2022-11-01&rft.volume=63&rft.issue=6&rft.spage=1091&rft.epage=1101&rft.pages=1091-1101&rft.issn=0037-4466&rft.eissn=1573-9260&rft_id=info:doi/10.1134/S003744662206009X&rft_dat=%3Cproquest_cross%3E2748375598%3C/proquest_cross%3E%3Cgrp_id%3Ecdi_FETCH-LOGICAL-c198t-56e01e52a420d41f3a17603bc008a98594d575be406e2109079b40107c7cd4cf3%3C/grp_id%3E%3Coa%3E%3C/oa%3E%3Curl%3E%3C/url%3E&rft_id=info:oai/&rft_pqid=2748375598&rft_id=info:pmid/&rfr_iscdi=true