A Survey of Binary Systems by Richard Hubert Bruck
English | PDF | 1971 | 195 Pages | ISBN : 3662428377 | 18.2 MB
The area of mathematics surveyed by the present report might be described as a little too broad to be treated in an encyclopedic manner in a reasonable space and yet not sufficiently developed in all its parts to warrant several distinct reports. Group theory and lattice theory are both regarded as outside the scope of the report. Subject to this restriction, the area surveyed is the algebraic theory of systems with a single binary operation. The operation is understood to be single- valued except in the case of multigroups and allied systems. Since quasigroups, for example, can be studied either in terms of a single binary operation or in terms of three, a little of the theory of general algebras enters quite naturally. A diagram indicating the interrelations of the various systemswill be found at the end of Chapter li.
