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Structure of free algebras. (English) Zbl 0704.08006
Let F(X) be a free algebra in a variety, and let \((x_ 1,x_ 2,...,x_ n)\omega\) be a term, \(x_ 1,x_ 2,...,x_ n\in X\). This term is strongly returnable if for arbitrary \(x\in X\) there exists a term (x,y)\(\pi\) such that \((x,(x_ 1,...,x_ n)\omega)\pi =x\). The author defines weaker forms of returnability and discusses some basic properties of these notions.
Reviewer: E.T.Schmidt
MSC:
08B20 Free algebras
08A40 Operations and polynomials in algebraic structures, primal algebras
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References:
[1] G. Grätzer: Universal algebra. London 1968. · Zbl 0182.34201
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