Algebraic Models in Applied Research

Abstract

Mathematical models can be used in several sciences as a tool to organize the research in such a way that the results could be transferred into other sciences. Here we go on with a method how to organise some results, which do not seem to have any relation with mathematics in a strictly algebraic way. The topic of algebra used is called H_v-structures, the largest class of hyperstructures. Our examples are taken from recent research in linguistics, more specifically on sociolinguistics. We believe that this game with mathematics will stimulate the interest of both researchers and students; moreover it is within the frame of Interdisciplinary Approach, one of the most recent teaching attitudes.

Key words: hyperstructures, H_v-structures.

AMS Subject Classification. 20N20