{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,13]],"date-time":"2026-02-13T04:08:25Z","timestamp":1770955705751,"version":"3.50.1"},"reference-count":13,"publisher":"World Scientific Pub Co Pte Ltd","issue":"02","funder":[{"DOI":"10.13039\/501100002322","name":"Coordena\u00e7\u00e3o de Aperfei\u00e7oamento de Pessoal de N\u00edvel Superior - Brasil","doi-asserted-by":"crossref","award":["Finance Code 001"],"award-info":[{"award-number":["Finance Code 001"]}],"id":[{"id":"10.13039\/501100002322","id-type":"DOI","asserted-by":"crossref"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Algebra Comput."],"published-print":{"date-parts":[[2026,3]]},"abstract":"<jats:p>Let K be a field of characteristic 0, and let E be the infinite-dimensional Grassmann algebra over K. We consider E as a [Formula: see text]-graded algebra, where the grading is given by the vector subspaces [Formula: see text] and [Formula: see text], consisting of monomials of even and odd lengths, respectively. Thus, if [Formula: see text] is an associative [Formula: see text]-graded algebra, we can consider the [Formula: see text]-graded algebra [Formula: see text]. In case both E and A are endowed with superinvolutions, we can define a [Formula: see text]-graded involution on [Formula: see text] induced by the respective superinvolutions. In this paper, we consider the [Formula: see text]-graded matrix algebras [Formula: see text], [Formula: see text] and [Formula: see text] endowed with superinvolutions. We shall provide a description of the polynomial identities and the cocharacter sequences of [Formula: see text], [Formula: see text] and [Formula: see text], considering these resulting algebras as [Formula: see text]-graded algebras with graded involution.<\/jats:p>","DOI":"10.1142\/s0218196726500050","type":"journal-article","created":{"date-parts":[[2025,10,31]],"date-time":"2025-10-31T10:13:30Z","timestamp":1761905610000},"page":"207-227","source":"Crossref","is-referenced-by-count":0,"title":["\u21242-graded \u2217-polynomial identities and cocharacteres for M1,1(E), UT1,1(E) and UT(0,1,0)(E)"],"prefix":"10.1142","volume":"36","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-0405-4378","authenticated-orcid":false,"given":"Jonatan Andres Gomez","family":"Parada","sequence":"first","affiliation":[{"name":"Department of Mathematics, IMECC, UNICAMP, S\u00e9rgio Buarque de Holanda, 651, Campinas 13083-859, SP, Brazil"}]}],"member":"219","published-online":{"date-parts":[[2025,11,21]]},"reference":[{"key":"S0218196726500050BIB001","doi-asserted-by":"publisher","DOI":"10.1016\/j.jalgebra.2004.01.004"},{"key":"S0218196726500050BIB002","doi-asserted-by":"publisher","DOI":"10.1080\/00927872.2010.492045"},{"key":"S0218196726500050BIB003","doi-asserted-by":"publisher","DOI":"10.1016\/j.laa.2014.12.035"},{"key":"S0218196726500050BIB004","doi-asserted-by":"publisher","DOI":"10.1016\/j.jpaa.2010.04.018"},{"key":"S0218196726500050BIB005","doi-asserted-by":"publisher","DOI":"10.1016\/j.jpaa.2013.05.013"},{"key":"S0218196726500050BIB006","volume-title":"Free Algebras and PI-Algebras: Graduate Course in Algebra","author":"Drensky V.","year":"2000"},{"key":"S0218196726500050BIB007","doi-asserted-by":"publisher","DOI":"10.1007\/s10468-018-9807-3"},{"key":"S0218196726500050BIB008","doi-asserted-by":"publisher","DOI":"10.1006\/jabr.1998.7452"},{"key":"S0218196726500050BIB009","doi-asserted-by":"publisher","DOI":"10.1016\/j.jpaa.2017.08.018"},{"key":"S0218196726500050BIB010","doi-asserted-by":"publisher","DOI":"10.1090\/mmono\/087"},{"key":"S0218196726500050BIB011","doi-asserted-by":"publisher","DOI":"10.1016\/j.jalgebra.2005.01.049"},{"key":"S0218196726500050BIB012","doi-asserted-by":"publisher","DOI":"10.1007\/s11856-011-0127-0"},{"key":"S0218196726500050BIB013","doi-asserted-by":"publisher","DOI":"10.1016\/S0022-4049(01)00169-4"}],"container-title":["International Journal of Algebra and Computation"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218196726500050","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,2,13]],"date-time":"2026-02-13T03:42:03Z","timestamp":1770954123000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/10.1142\/S0218196726500050"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2025,11,21]]},"references-count":13,"journal-issue":{"issue":"02","published-print":{"date-parts":[[2026,3]]}},"alternative-id":["10.1142\/S0218196726500050"],"URL":"https:\/\/doi.org\/10.1142\/s0218196726500050","relation":{},"ISSN":["0218-1967","1793-6500"],"issn-type":[{"value":"0218-1967","type":"print"},{"value":"1793-6500","type":"electronic"}],"subject":[],"published":{"date-parts":[[2025,11,21]]}}}