On the Model Theory of Finite-dimensional Algebras

نویسنده

  • BRUCE I. ROSE
چکیده

The examination of model-theoretic concepts in the context of general finite-dimensional algebras is a natural problem in applied model theory. Many of the most carefully studied and best understood algebraic objects are finite-dimensional algebras. Furthermore, the finiteness inherent to finite-dimensional algebras suggests that their theories might be amenable to exploration with techniques from first-order logic. Such work contributes to our understanding of general model-theoretic concepts by elucidating them in a concrete setting. It also contributes to our stock of examples. The primary objective of this paper is to prove the following result.

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تاریخ انتشار 1977