… independence algebra then any basis of A is independent. Moreover, if A is an independence
algebra and X is an independent … of a regular Rees matrix semigroup isomorphic to Q. Let …

… We assume that the reader has a basic knowledge of both the theory of independence
algebras and the theory of semigroups. For independence algebras we recommend [3] and [4] …

… By a completely regular (“cr“) semigroup we mean a semigroup which is a union of groups.
… a less restrictive class of algebra. By a unary semigroup we shall mean an algebra S(*, *) …

… must devise some independent semigroup methods to solve semigroup problems. Moreover,
… No characterization for regular semigroups of arbitrary binary relations has been reported. …

… independence algebras have recently attracted the attention of people working in both logic
and group theory, and also in semigroups … Fountain, A description of normal semigroups of …

… seminal work on the structure of regular semigroups. A biordered set is a partial … independence
algebras with no constants, so here we give the classification of independence algebras …

… We now prove the main result of this paper, characterizing when a semigroup algebra K[S]
of a … The several reduction steps made in the proof in [8] were independent of this leftright …

… amenability result: the left regular representation von Neumann algebra VN(S) of an inverse
… He showed that the s;'s generate a simple, purely infinite C*-algebra On independent of the …

… On Mn(C), we denote by Tr the usual trace and by tr = 1 … between two subalgebras of a
noncommutative probability space which passes from the classical independence (which is the …

… is satisfied, the resulting term is independent of the order in which these contractions are …
normal form of (γ)ϵ(δ). The term α4 is formed from α3 by replacing each portion with its normal …