On Flatness and Tameness of Classes of Impartial Games

Properties of products for flatness in the category of $S$-posets

This paper is devoted to the study of products of classes of right $S$-posets possessing one of the flatness properties and preservation of such properties under products. Specifically, we characterize a pomonoid $S$ over which its nonempty products as right $S$-posets satisfy some known flatness properties. Generalizing this results, we investigate products of right $S$-posets satisfying Condi...

Impartial coloring games

Coloring games are combinatorial games where the players alternate painting uncolored vertices of a graph one of k > 0 colors. Each different ruleset specifies that game’s coloring constraints. This paper investigates six impartial rulesets (five new), derived from previously-studied graph coloring schemes, including proper map coloring, oriented coloring, 2-distance coloring, weak coloring, an...

On tame, pet, miserable, and strongly miserable impartial games

We consider tame impartial games and develop the Sprague-Grundy theory for misère playing the sum of such games that looks simpler than the classical theory suggested by Conway in 1976, which is based on the concept of genus. An impartial game is called pet if the sets of P-positions of its normal and misère versions are disjoint. We provide several equivalent characterizations and show that th...

Decidability and Tameness in the Theory of Finite Semigroups

Integration of Serious Games in Teaching English as a Foreign Language to Iranian Children

Nowadays computers are increasingly being incorporated into school curriculums and serious games are occupying the educational games markets. This article addressed the integration of serious games as tools for learning and teaching English in Iranian schools to zero-beginner students. An experiment was concluded using Computer Assisted Language Learning (CALL) to investigate the effectiveness ...