Figallo, Aldo jun.; Ziliani, Alicia Free algebras over a poset in varieties. (English) Zbl 1256.08003 Commun. Korean Math. Soc. 26, No. 4, 543-549 (2011). In this paper a construction of the free algebra over a poset in a variety is defined and this result is applied to the variety of \(2\)-valued implicative semilattices and the variety of Hilbert algebras generated by finite chains. Reviewer: Yuri Movsisyan (Yerevan) Cited in 1 ReviewCited in 1 Document MSC: 08B20 Free algebras 06A12 Semilattices 03G25 Other algebras related to logic Keywords:free algebra over a poset; finitely generated variety; 2-valued implicative semilattice; Hilbert algebra; finite chain PDFBibTeX XMLCite \textit{A. Figallo jun.} and \textit{A. Ziliani}, Commun. Korean Math. Soc. 26, No. 4, 543--549 (2011; Zbl 1256.08003) Full Text: DOI