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We examine Simis and normally torsion-free ideals, relate some of the properties of monomial ideals and weighted monomial ideals, and present a structure theorem for edge ideals of [Formula: see text]-uniform clutters whose ideal of covers is Simis in degree [Formula: see text]. One of our main results is a combinatorial classification of when the dual of the edge ideal of a weighted oriented graph is Simis in degree [Formula: see text].<\/jats:p>","DOI":"10.1142\/s0219498825410014","type":"journal-article","created":{"date-parts":[[2025,2,7]],"date-time":"2025-02-07T08:25:56Z","timestamp":1738916756000},"source":"Crossref","is-referenced-by-count":2,"title":["Symbolic powers: Simis and weighted monomial ideals"],"prefix":"10.1142","volume":"24","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-6712-5383","authenticated-orcid":false,"given":"Fernando O.","family":"M\u00e9ndez","sequence":"first","affiliation":[{"name":"Departamento de Matem\u00e1ticas, Cinvestav, Av. 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