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Direct Sums of Partial Algebras and Final Algebraic Structures

Published online by Cambridge University Press:  20 November 2018

Jürgen Schmidt
Jürgen Schmidt*
Affiliation:
Mathematisches Institut, Universität Bonn
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Słomiński (9), as well as the author (8), gave a descriptive, i.e., noncategory-theoretic, definition of the direct sum of partial algebras, i.e., the co-product in the category of partial algebras (A,ƒ), where ƒ = (ƒi)i∈I, ƒi: dom ƒi ⟶ A, dom ƒi ⊂ AKi , of fixed type A = (K i )i∈I .

Information

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 20 , 1968 , pp. 872 - 887
Copyright
Copyright © Canadian Mathematical Society 1968

References

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2. Burmeister, P. and Schmidt, J., On the completion of partial algebras, Colloq. Math. 17 (1967), 235–245.Google Scholar
3. Felscher, W., Adjungierte Funktoren und primitive Klassen, Sitz. Ber. Heidelberger Akad. Wiss. Math.-Natur. Kl. 1965, 445–509.Google Scholar
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9. Słomiński, J., A theory of extensions of quasi-algebras to algebras, Rozprawy Mat. 40 (1964), 63 pp.Google Scholar