{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,3,30]],"date-time":"2022-03-30T02:39:32Z","timestamp":1648607972145},"reference-count":17,"publisher":"World Scientific Pub Co Pte Lt","issue":"03","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Algebra Comput."],"published-print":{"date-parts":[[2009,5]]},"abstract":"<jats:p> Let A be a finitely generated commutative algebra over a field K with a presentation A = K \u3008X<jats:sub>1<\/jats:sub>,\u2026, X<jats:sub>n<\/jats:sub> | R\u3009, where R is a set of monomial relations in the generators X<jats:sub>1<\/jats:sub>,\u2026, X<jats:sub>n<\/jats:sub>. So A = K[S], the semigroup algebra of the monoid S = \u3008X<jats:sub>1<\/jats:sub>,\u2026, X<jats:sub>n<\/jats:sub> | R\u3009. We characterize, purely in terms of the defining relations, when A is an integrally closed domain, provided R contains at most two relations. Also the class group of such algebras A is calculated. <\/jats:p>","DOI":"10.1142\/s0218196709005184","type":"journal-article","created":{"date-parts":[[2009,5,19]],"date-time":"2009-05-19T10:51:17Z","timestamp":1242730277000},"page":"287-303","source":"Crossref","is-referenced-by-count":1,"title":["NORMAL DOMAINS WITH MONOMIAL PRESENTATIONS"],"prefix":"10.1142","volume":"19","author":[{"given":"ISABEL","family":"GOFFA","sequence":"first","affiliation":[{"name":"Department of Mathematics, Vrije Universiteit Brussel, Pleinlaan 2, 1050 Brussel, Belgium"}]},{"given":"ERIC","family":"JESPERS","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Vrije Universiteit Brussel, Pleinlaan 2, 1050 Brussel, Belgium"}]},{"given":"JAN","family":"OKNI\u0143SKI","sequence":"additional","affiliation":[{"name":"Institute of Mathematics, Warsaw University, Banacha 2, 02-097 Warsaw, Poland"}]}],"member":"219","published-online":{"date-parts":[[2011,11,20]]},"reference":[{"key":"rf1","first-page":"43","volume":"6","author":"Bruns W.","journal-title":"S\u00e9minaire & Congr\u00e8s"},{"key":"rf2","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9780511608681"},{"key":"rf3","doi-asserted-by":"publisher","DOI":"10.1016\/j.dam.2006.03.013"},{"key":"rf4","first-page":"1459","volume":"23","author":"Chouinard L. G.","journal-title":"Canad. J. Math."},{"key":"rf5","doi-asserted-by":"publisher","DOI":"10.1016\/j.jpaa.2008.11.045"},{"key":"rf6","doi-asserted-by":"publisher","DOI":"10.1215\/S0012-7094-99-10007-X"},{"key":"rf7","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-88405-4"},{"key":"rf8","doi-asserted-by":"publisher","DOI":"10.1006\/jabr.1997.7399"},{"key":"rf9","volume-title":"Commutative Semigroup Rings","author":"Gilmer R.","year":"1984"},{"key":"rf10","doi-asserted-by":"publisher","DOI":"10.1016\/j.jalgebra.2006.07.029"},{"key":"rf11","doi-asserted-by":"publisher","DOI":"10.1142\/S0218196707004347"},{"key":"rf12","volume-title":"Noetherian Semigroup Algebras, Algebra and Applications","author":"Jespers E.","year":"2007"},{"key":"rf13","series-title":"Graduate Texts in Mathematics","volume-title":"Combinatorial Commutative Algebra","author":"Miller E.","year":"2005"},{"key":"rf15","doi-asserted-by":"publisher","DOI":"10.1016\/S0024-3795(98)10152-0"},{"key":"rf16","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9939-02-06790-4"},{"key":"rf17","series-title":"Univ. Lect. Ser.","volume-title":"Gr\u00f6bner Bases and Convex Polytopes","volume":"8","author":"Sturmfels B.","year":"1996"},{"key":"rf18","volume-title":"Monomial Algebras","author":"Villareal R. H.","year":"2001"}],"container-title":["International Journal of Algebra and Computation"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218196709005184","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,7]],"date-time":"2019-08-07T13:34:48Z","timestamp":1565184888000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0218196709005184"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2009,5]]},"references-count":17,"journal-issue":{"issue":"03","published-online":{"date-parts":[[2011,11,20]]},"published-print":{"date-parts":[[2009,5]]}},"alternative-id":["10.1142\/S0218196709005184"],"URL":"https:\/\/doi.org\/10.1142\/s0218196709005184","relation":{},"ISSN":["0218-1967","1793-6500"],"issn-type":[{"value":"0218-1967","type":"print"},{"value":"1793-6500","type":"electronic"}],"subject":[],"published":{"date-parts":[[2009,5]]}}}