Crossed Genres Magazine Quarterly 3 2011: Heroes & Heroines 2011: Sidekicks & Minions 2011: Villains Contains exclusive new stories & articles never before published!

"We give a duality for the variety of bounded distributive lattices that is not full (and therefore not strong) although it is full but not strong at the finite level. While this does not give a complete solution to the 'Full vs Strong' Problem, which dates back to the beginnings of natural duality theory in 1980, it does solve it at the finite level. One consequence of this result is that although there is a Duality Compactness Theorem, which says that if an alter ego of finite type yields a duality at the finite level then it yields a duality, there cannot be a corresponding Full Duality Compactness Theorem."--p. 1.

Abstract: "Let K be a class of (universal) algebras of fixed type. K[superscript t] denotes the class obtained by augmenting each member of K by the ternary discriminator function (t(x, y, z) = x if x [does not equal] y, t(x, x, z) = z), while V(K[superscript t]) is the closure of K[superscript t] under the formulation of subalgebras, homomorphic images, and arbitrary Cartesian products. For example, the class of Boolean algebras is definitionally equivalent to V(K[superscript t]) where K consists of a two-element algebra whose only operations are the two constants. Any equationally defined class (that is, variety) of algebras which is equivalent to some V(K[superscript t]) is known as a discriminator variety. Building on recent work of S. Burris, R. McKenzie and M. Valeriote, we characterize these locally finite universal classes K of unary algebras of finite type for which the first-order theory of V(K[superscript t]) is decideable."

Abstract: "We determine those universal classes of lattices which generate a decidable discriminator variety when augmented by a ternary discriminator term. They are the locally finite universal classes whose finite members are almost homogeneous."

- 5 tales of going against the grain - Article about the "Firefly" fan film "Browncoats: Redemption" by Jaym Gates - Visceral cover art "Our Hell" by Portuguese artist Tânia Sousa Ribeiro