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We introduce simplicial methods to describe these results, and to serve as a possible tool for further study of the dimension series.<\/jats:p>","DOI":"10.1142\/s0218196715500423","type":"journal-article","created":{"date-parts":[[2015,11,26]],"date-time":"2015-11-26T08:33:49Z","timestamp":1448526829000},"page":"1301-1325","source":"Crossref","is-referenced-by-count":2,"title":["Lie dimension subrings"],"prefix":"10.1142","volume":"25","author":[{"given":"Laurent","family":"Bartholdi","sequence":"first","affiliation":[{"name":"D\u00e9partement de Math\u00e9matiques et Applications, \u00c9cole Normale Sup\u00e9rieure, Paris, France"},{"name":"Mathematisches Institut, Georg-August Universit\u00e4t, G\u00f6ttingen, Germany"}]},{"given":"Inder Bir S.","family":"Passi","sequence":"additional","affiliation":[{"name":"Centre for Advanced Study in Mathematics, Panjab University, Chandigarh, India"},{"name":"Indian Institute of Science Education and Research, Mohali, India"}]}],"member":"219","published-online":{"date-parts":[[2015,12,30]]},"reference":[{"key":"S0218196715500423BIB001","doi-asserted-by":"publisher","DOI":"10.2307\/1968569"},{"key":"S0218196715500423BIB002","first-page":"1","volume":"12","author":"Cartier P.","year":"1958","journal-title":"Ann. 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