Algebraic Functions

Studia Logica 98 (1-2):285-306 (2011)
Let A be an algebra. We say that the functions f 1 , . . . , f m : A n → A are algebraic on A provided there is a finite system of term-equalities $${{\bigwedge t_{k}(\overline{x}, \overline{z}) = s_{k}(\overline{x}, \overline{z})}}$$ satisfying that for each $${{\overline{a} \in A^{n}}}$$, the m -tuple $${{(f_{1}(\overline{a}), \ldots , f_{m}(\overline{a}))}}$$ is the unique solution in A m to the system $${{\bigwedge t_{k}(\overline{a}, \overline{z}) = s_{k}(\overline{a}, \overline{z})}}$$. In this work we present a collection of general tools for the study of algebraic functions, and apply them to obtain characterizations for algebraic functions on distributive lattices, Stone algebras, finite abelian groups and vector spaces, among other well known algebraic structures
Keywords Implicit equational definition  Distributive Lattice  Stone Algebra
Categories (categorize this paper)
 Save to my reading list
Follow the author(s)
My bibliography
Export citation
Find it on Scholar
Edit this record
Mark as duplicate
Revision history Request removal from index
Download options
PhilPapers Archive

Upload a copy of this paper     Check publisher's policy on self-archival     Papers currently archived: 13,048
External links
Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
Through your library
References found in this work BETA
Citations of this work BETA

No citations found.

Similar books and articles
Alfred H. Lloyd (1908). The Meaning of $\Surd \Overline{-1}$. Journal of Philosophy, Psychology and Scientific Methods 5 (6):141-150.
Ludomir Newelski (1999). Geometry of *-Finite Types. Journal of Symbolic Logic 64 (4):1375-1395.

Monthly downloads

Added to index


Total downloads

7 ( #209,974 of 1,410,540 )

Recent downloads (6 months)

1 ( #178,988 of 1,410,540 )

How can I increase my downloads?

My notes
Sign in to use this feature

Start a new thread
There  are no threads in this forum
Nothing in this forum yet.