In this paper we investigate splitting algebras in varieties of logics, with special consideration for varieties of BL-algebras and similar structures. In the case of the variety of all BL-algebras a complete characterization of the splitting algebras is obtained.

In this paper we extend to various classes of subreducts of hoops some results about splitting algebras. In particular we prove that every finite chain in the purely implicational fragment of basic hoops is splitting and that every finite chain in the \ fragment of hoops is splitting. We also produce explicitly the splitting equations in most cases.

In this paper we study |$\mathcal{M}\mathcal{V}^{+}$|⁠, i.e. the positive fragment of Łukasiewicz infinite-valued Logic |$\mathcal{M}\mathcal{V}$|⁠. Using mainly algebraic techniques we characterize all the finitary extensions of |$\mathcal{M}\mathcal{V}^{+}$| that are structurally complete and those that are hereditarily structurally complete.