COMMUTATIVITY AND CANCELLABILITY OF FINITE SEMI-MULTIGROUPS

Finite groups with three relative commutativity degrees

‎‎For a finite group $G$ and a subgroup $H$ of $G$‎, ‎the relative commutativity degree of $H$ in $G$‎, ‎denoted by $d(H,G)$‎, ‎is the probability that an element of $H$ commutes with an element of $G$‎. ‎Let $mathcal{D}(G)={d(H,G):Hleq G}$ be the set of all relative commutativity degrees of subgroups of $G$‎. ‎It is shown that a finite group $G$ admits three relative commutativity degrees if a...

On the Number of Expressions Modulo Commutativity over a Finite Semi-group

Implicature, Inference and Cancellability

The standard position in pragmatics to date has been that cancellability is useful way of differentiating implicatures from logical implications, semantic entailments and the like. In recent years, however, there has been considerable debate as to whether implicatures are in fact always cancellable, or indeed whether they are cancellable at all, amongst linguistic pragmaticians and language phi...

finite groups with three relative commutativity degrees

‎‎for a finite group $g$ and a subgroup $h$ of $g$‎, ‎the relative commutativity degree of $h$ in $g$‎, ‎denoted by $d(h,g)$‎, ‎is the probability that an element of $h$ commutes with an element of $g$‎. ‎let $mathcal{d}(g)={d(h,g):hleq g}$ be the set of all relative commutativity degrees of subgroups of $g$‎. ‎it is shown that a finite group $g$ admits three relative commutativity degrees if a...

On explicatures, cancellability and cancellation

Within the Gricean framework only what is conversationally implicated is cancellable, whereas what is conventionally implicated and what is said cannot be cancelled without giving rise to contradiction. In the relevance-theoretic framework, however, the question is whether explicatures, which replace the Gricean notion of what is said, are cancellable. In recent years, various objections to the...