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Homological Finite Derivation Type [PDF]

open access: yesInternational Journal of Algebra and Computation, 2003
In 1987, Squier defined the notion of finite derivation type for a finitely presented monoid. To do this, he associated a 2-complex to the presentation. The monoid then has finite derivation type if, modulo the action of the free monoid ring, the 1-dimensional homotopy of this complex is finitely generated.
Juan M. Alonso, Susan M. Hermiller
openaire   +3 more sources

Geometry of *-Finite Types

Journal of Symbolic Logic, 1999
AbstractAssumeTis a superstable theory with < 2ℵ0countable models. We prove that any *- algebraic type of-rank > 0 is m-nonorthogonal to a *-algebraic type of-rank 1. We study the geometry induced by m-dependence on a *-algebraic typep*of-rank 1.
openaire   +1 more source

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