{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,5,10]],"date-time":"2025-05-10T16:04:56Z","timestamp":1746893096830},"reference-count":14,"publisher":"World Scientific Pub Co Pte Ltd","issue":"07","funder":[{"name":"MATRICS research","award":["MTR\/2018\/000420"],"award-info":[{"award-number":["MTR\/2018\/000420"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Algebra Comput."],"published-print":{"date-parts":[[2022,11]]},"abstract":"<jats:p> Let [Formula: see text] be a numerical semigroup minimally generated by an almost arithmetic sequence. We give a description of a possible row-factorization (RF) matrix for each pseudo-Frobenius element of [Formula: see text]. Further, when [Formula: see text] is symmetric and has embedding dimension four or five, we prove that the defining ideal is minimally generated by RF-relations. <\/jats:p>","DOI":"10.1142\/s0218196722500552","type":"journal-article","created":{"date-parts":[[2022,7,1]],"date-time":"2022-07-01T05:52:56Z","timestamp":1656654776000},"page":"1275-1305","source":"Crossref","is-referenced-by-count":2,"title":["On row-factorization relations of certain numerical semigroups"],"prefix":"10.1142","volume":"32","author":[{"given":"Om Prakash","family":"Bhardwaj","sequence":"first","affiliation":[{"name":"IIT Gandhinagar, Palaj, Gandhinagar, Gujarat 382355 India"}]},{"given":"Kriti","family":"Goel","sequence":"additional","affiliation":[{"name":"IIT Gandhinagar, Palaj, Gandhinagar, Gujarat 382355 India"}]},{"given":"Indranath","family":"Sengupta","sequence":"additional","affiliation":[{"name":"IIT Gandhinagar, Palaj, Gandhinagar, Gujarat 382355 India"}]}],"member":"219","published-online":{"date-parts":[[2022,7,28]]},"reference":[{"issue":"3","key":"S0218196722500552BIB001","doi-asserted-by":"crossref","first-page":"205","DOI":"10.1007\/BF01170309","volume":"17","author":"Bresinsky H.","year":"1975","journal-title":"Manuscripta Math."},{"key":"S0218196722500552BIB003","doi-asserted-by":"crossref","first-page":"362","DOI":"10.1016\/j.jalgebra.2017.05.044","volume":"488","author":"Eto K.","year":"2017","journal-title":"J. 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