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Articles 31 - 32 of 32
Full-Text Articles in Algebra
The Persistence Of Universal Formulae In Free Algebras, Anthony M. Gaglione, Dennis Spellman
The Persistence Of Universal Formulae In Free Algebras, Anthony M. Gaglione, Dennis Spellman
Mathematics Faculty Publications
Gilbert Baumslag, B.H. Neumann, Hanna Neumann, and Peter M. Neumann successfully exploited their concept of discrimination to obtain generating groups of product varieties via the wreath product construction. We have discovered this same underlying concept in a somewhat different context. Specifically, let V be a non-trivial variety of algebras. For each cardinal α let Fα(V) be a V-free algebra of rank α. Then for a fixed cardinal r one has the equivalence of the following two statements ...
Commutator Identities Obtained By The Magnus Algebra, Anthony M. Gaglione, Dennis Spellman
Commutator Identities Obtained By The Magnus Algebra, Anthony M. Gaglione, Dennis Spellman
Mathematics Faculty Publications
In this paper, two related commutator identities are established through the use of the Magnus Algebra (the algebra of noncommutative formal power series with integral coefficients).