The basic algebraic laws of dipole combinations of dipoles and regular sequences of these combinations

The basic algebraic laws of dipole combinations are taken to be such that any set of DP satisfying these laws is an Abelian semigroup relative to the operations of parallel and series combination of DP. A characteristic feature of this algebra is that a neutral element of any of these semigroups plays the role of an all-absorbing element of another one. From the basic laws of this algebra, analogous laws of the algebra of regular sequences of dipole combinations of dipoles may be deduced. For neutral and all-absorbing elements of each of the two semigroups considered, the algebra investigated is found to be Boolean. An analogous assertion is also valid for the algebra of regular sequences of dipole combinations of DP.