Obstinate, weak implicative and fantastic filters of non commutative residuated lattices (Q2361597)

The notion of an obstinate filter in a residuated lattice was introduced in [\textit{A. Borumand Saeid} and \textit{M. Pourkhatoun}, Bull. Math. Soc. Sci. Math. Roum., Nouv. Sér. 55(103), No. 4, 413--422 (2012; Zbl 1274.03105)] and the notion of a fantastic filter was introduced in [\textit{Y. Zhu} and \textit{Y. Xu}, Inf. Sci. 180, No. 19, 3614--3632 (2010; Zbl 1228.03045)]. In this paper, the author generalizes these notions for non-commutative residuated lattices and investigates some of their properties.