{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,11,14]],"date-time":"2025-11-14T17:04:59Z","timestamp":1763139899980},"reference-count":11,"publisher":"Elsevier BV","issue":"1-3","license":[{"start":{"date-parts":[[1999,1,1]],"date-time":"1999-01-01T00:00:00Z","timestamp":915148800000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"},{"start":{"date-parts":[[2013,7,17]],"date-time":"2013-07-17T00:00:00Z","timestamp":1374019200000},"content-version":"vor","delay-in-days":5311,"URL":"https:\/\/www.elsevier.com\/open-access\/userlicense\/1.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Linear Algebra and its Applications"],"published-print":{"date-parts":[[1999,1]]},"DOI":"10.1016\/s0024-3795(98)10152-0","type":"journal-article","created":{"date-parts":[[2002,7,25]],"date-time":"2002-07-25T12:51:33Z","timestamp":1027601493000},"page":"175-186","source":"Crossref","is-referenced-by-count":3,"title":["On normal affine semigroups"],"prefix":"10.1016","volume":"286","author":[{"given":"J.C.","family":"Rosales","sequence":"first","affiliation":[]},{"given":"P.A.","family":"Garci\u00b4a-Sa\u00b4nchez","sequence":"additional","affiliation":[]}],"member":"78","reference":[{"key":"10.1016\/S0024-3795(98)10152-0_bib1","doi-asserted-by":"crossref","first-page":"318","DOI":"10.2307\/1970791","article-title":"Rings of invariants of tori, Cohen-Macaulay rings generated by monomials and polytopes","volume":"96","author":"Hochster","year":"1972","journal-title":"Ann. Math."},{"key":"10.1016\/S0024-3795(98)10152-0_bib2","doi-asserted-by":"crossref","first-page":"205","DOI":"10.1007\/BF01318681","article-title":"Subsemigroups of finitely generated groups with divisor theory","volume":"106","author":"Lettl","year":"1988","journal-title":"Monatshefte F. Math."},{"key":"10.1016\/S0024-3795(98)10152-0_bib3","series-title":"The Theory of Finitely Generated Commutative Semigroups","author":"Re\u00b4dei","year":"1965"},{"key":"10.1016\/S0024-3795(98)10152-0_bib4","doi-asserted-by":"crossref","first-page":"175","DOI":"10.1007\/BF01273309","article-title":"Generators and relations of abelian semigroups and semigroup rings","volume":"3","author":"Herzog","year":"1970","journal-title":"Manuscripta Math."},{"key":"10.1016\/S0024-3795(98)10152-0_bib5","doi-asserted-by":"crossref","first-page":"351","DOI":"10.1016\/S0024-3795(97)00309-1","article-title":"Nonnegative elements of subgroups ofZn","volume":"270","author":"Rosales","year":"1998","journal-title":"Linear Algebra Appl."},{"key":"10.1016\/S0024-3795(98)10152-0_bib6","article-title":"Combinatories and Commutative Algebra","author":"Stanley","year":"1983"},{"key":"10.1016\/S0024-3795(98)10152-0_bib7","doi-asserted-by":"crossref","first-page":"665","DOI":"10.1090\/S0002-9947-1970-0292975-4","article-title":"The free envelope of a finitely generated commutative semigroup","volume":"149","author":"Grillet","year":"1970","journal-title":"Trans. Amer. Math. Soc."},{"key":"10.1016\/S0024-3795(98)10152-0_bib8","doi-asserted-by":"crossref","first-page":"251","DOI":"10.1007\/BF02573522","article-title":"On finitely generated submonoids ofNk","volume":"50","author":"Rosales","year":"1995","journal-title":"Semigroup Forum"},{"key":"10.1016\/S0024-3795(98)10152-0_bib9","series-title":"Recent Trends in Multidimensional System Theory","article-title":"Gro\u00a8bner bases: an algorithm method in polynomial ideal theory","author":"Buchberger","year":"1985"},{"key":"10.1016\/S0024-3795(98)10152-0_bib10","doi-asserted-by":"crossref","first-page":"87","DOI":"10.1007\/BF02573622","article-title":"Function minimum associated to a congruence on integral n-tuple space","volume":"51","author":"Rosales","year":"1995","journal-title":"Semigroup Forum"},{"issue":"13","key":"10.1016\/S0024-3795(98)10152-0_bib11","doi-asserted-by":"crossref","first-page":"4217","DOI":"10.1080\/00927879608825809","article-title":"A deterministic algorithm to decide if a finitely presented abelian monoid is cancellative","volume":"24","author":"Rosales","year":"1996","journal-title":"Comm. Algebra"}],"container-title":["Linear Algebra and its Applications"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0024379598101520?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0024379598101520?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2019,4,30]],"date-time":"2019-04-30T04:57:04Z","timestamp":1556600224000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S0024379598101520"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1999,1]]},"references-count":11,"journal-issue":{"issue":"1-3","published-print":{"date-parts":[[1999,1]]}},"alternative-id":["S0024379598101520"],"URL":"https:\/\/doi.org\/10.1016\/s0024-3795(98)10152-0","relation":{},"ISSN":["0024-3795"],"issn-type":[{"value":"0024-3795","type":"print"}],"subject":[],"published":{"date-parts":[[1999,1]]}}}