Decidability and Boolean Representations is popular PDF and ePub book, written by Stanley Burris in 1981, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Decidability and Boolean Representations can be Read Online from any device for your convenience.
Decidability and Boolean Representations Book PDF Summary
In part I we address the question: which varieties have a decidable first order theory? We confine our attention to varieties whose algebras have modular congruence lattices (i.e., modular varieties), and focus primarily on locally finite varieties, although near the end of the paper Zamjatin's description of all decidable varieties of groups and rings, and offer a new proof of it. In part II, we show that if a variety admits such sheaf representations using only finitely many stalks, all of which are finite, then the variety can be decomposed in the product of a discriminator variety and an abelian variety. We continue this investigation by looking at well-known specializations of the sheaf construction, namely Boolean powers and sub-Boolean powers, giving special emphasis to quasi-primal algebras A, such that the sub-Boolean powers of A form a variety (this extends the work of Arens and Kaplansky on finite fields).
Detail Book of Decidability and Boolean Representations PDF
- Author : Stanley Burris
- Release : 22 September 1981
- Publisher : American Mathematical Soc.
- ISBN : 9780821822463
- Genre : Mathematics
- Total Page : 117 pages
- Language : English
- PDF File Size : 13,5 Mb
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