{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2023,6,30]],"date-time":"2023-06-30T06:32:58Z","timestamp":1688106778119},"reference-count":15,"publisher":"World Scientific Pub Co Pte Ltd","issue":"01","funder":[{"name":"Junta de Andalucia group","award":["MTM-2017-84890-P","FQM-343"],"award-info":[{"award-number":["MTM-2017-84890-P","FQM-343"]}]},{"name":"FCT","award":["PTDC\/MAT\/73544\/2006"],"award-info":[{"award-number":["PTDC\/MAT\/73544\/2006"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Algebra Comput."],"published-print":{"date-parts":[[2023,2]]},"abstract":"<jats:p> In this work, we study [Formula: see text]-semigroups, that is, numerical semigroups which have no consecutive elements less than the Frobenius number. We give algorithms that allow computation of the whole set of [Formula: see text]-semigroups with a given genus, multiplicity and Frobenius number and from this we study interesting families of [Formula: see text]-semigroups which are Frobenius varieties, pseudo-varieties; R-varieties. <\/jats:p>","DOI":"10.1142\/s0218196723500066","type":"journal-article","created":{"date-parts":[[2022,10,28]],"date-time":"2022-10-28T03:45:07Z","timestamp":1666928707000},"page":"67-85","source":"Crossref","is-referenced-by-count":1,"title":["Numerical semigroups without consecutive small elements"],"prefix":"10.1142","volume":"33","author":[{"given":"Jos\u00e9 C.","family":"Rosales","sequence":"first","affiliation":[{"name":"Departamento de \u00c1lgebra, Universidad de Granada, E-18071 Granada, Spain"}]},{"given":"Manuel B.","family":"Branco","sequence":"additional","affiliation":[{"name":"Departamento de Matem\u00e1tica, Universidade de \u00c9vora, 7000 \u00c9vora, Portugal"}]},{"given":"M\u00e1rcio A.","family":"Traesel","sequence":"additional","affiliation":[{"name":"Departamento de Matem\u00e1tica, Instituto Federal de S\u00e3o Paulo, Caraguatatuba, SP, Brazil"}]}],"member":"219","published-online":{"date-parts":[[2022,12,9]]},"reference":[{"key":"S0218196723500066BIB001","first-page":"1198","volume":"222","author":"Ap\u00e9ry, R.","year":"1946","journal-title":"C. 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