{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,12]],"date-time":"2025-10-12T03:32:41Z","timestamp":1760239961507,"version":"build-2065373602"},"reference-count":17,"publisher":"MDPI AG","issue":"2","license":[{"start":{"date-parts":[[2019,2,2]],"date-time":"2019-02-02T00:00:00Z","timestamp":1549065600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100001809","name":"NSF of China","doi-asserted-by":"publisher","award":["NSF of China"],"award-info":[{"award-number":["NSF of China"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>Let     S 3     be the symmetric group on three elements. Let k be a field and      M 3   ( k )      be the full matrix algebra of     3 \u00d7 3    -matrices over k. In this paper, the     k  S 3     -module algebra structures on      M 3   ( k )      are described, and classified up to isomorphism.<\/jats:p>","DOI":"10.3390\/sym11020178","type":"journal-article","created":{"date-parts":[[2019,2,5]],"date-time":"2019-02-05T11:31:07Z","timestamp":1549366267000},"page":"178","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["The kS3-Module Algebra Structures on M3(k)"],"prefix":"10.3390","volume":"11","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-6755-8998","authenticated-orcid":false,"given":"Shiyin","family":"Zhao","sequence":"first","affiliation":[{"name":"School of Literature and Science; Suqian College; Suqian 223800, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yin","family":"Wang","sequence":"additional","affiliation":[{"name":"School of Mathematical Science, Yangzhou University, Yangzhou 225002, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Xiaojuan","family":"Chen","sequence":"additional","affiliation":[{"name":"School of Mathematical Science, Yangzhou University, Yangzhou 225002, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2019,2,2]]},"reference":[{"key":"ref_1","unstructured":"Beattie, M. 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Algebra"},{"key":"ref_14","doi-asserted-by":"crossref","first-page":"582","DOI":"10.1016\/j.jalgebra.2005.08.011","article-title":"Four-dimensional Yetter-Drinfeld module algebras over H4","volume":"296","author":"Chen","year":"2006","journal-title":"J. Algebra"},{"key":"ref_15","unstructured":"Abe, E. (1980). Hopf Algebras, Cambridge University Press."},{"key":"ref_16","unstructured":"Sweedler, M.E. (1969). Hopf Algebras, Benjamin."},{"key":"ref_17","doi-asserted-by":"crossref","unstructured":"Nastasescu, C., and Van Oystaeyen, F. (2004). Methods of Graded Rings, Springer. Lecture Notes in Mathematics 1836.","DOI":"10.1007\/b94904"}],"container-title":["Symmetry"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/2073-8994\/11\/2\/178\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T12:30:46Z","timestamp":1760185846000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/2073-8994\/11\/2\/178"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2019,2,2]]},"references-count":17,"journal-issue":{"issue":"2","published-online":{"date-parts":[[2019,2]]}},"alternative-id":["sym11020178"],"URL":"https:\/\/doi.org\/10.3390\/sym11020178","relation":{},"ISSN":["2073-8994"],"issn-type":[{"type":"electronic","value":"2073-8994"}],"subject":[],"published":{"date-parts":[[2019,2,2]]}}}