Characterization of conditionally termable functions. (English. Russian original) Zbl 0870.08004
Sib. Math. J. 38, No. 1, 136-139 (1997); translation from Sib. Mat. Zh. 38, No. 1, 161-165 (1997).
The author studies the notion of a conditionally termable function introduced recently. Conditions are given on an algebra \({\mathfrak{A}}\) for conditionally termable functions in the signature of \({\mathfrak{A}}\) to have a description in terms of inner isomorphisms of \({\mathfrak{A}}\).
Reviewer: A.N.Ryaskin (Novosibirsk)
MSC:
| 08A40 | Operations and polynomials in algebraic structures, primal algebras |
| 08A35 | Automorphisms and endomorphisms of algebraic structures |
Keywords:
signature; language; conditionally termable function; locally finite variety; inner isomorphism of an algebraReferences:
| [1] | A. G. Pinus, ”On conditional terms and identities on universal algebras,” in: Structural Algorithmic Properties of Computability (Vychislitel’nye Sistemy,156) [in Russian], Inst. Mat. (Novosibirsk), Novosibirsk, 1996, pp. 59–78. · Zbl 0902.08009 |
| [2] | A. G. Pinus, ”Calculus of conditional identities and conditionally rational equivalence,” Algebra i Logika (to appear). · Zbl 0913.08008 |
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