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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

On a varietal structure of algebras


Author: R. D. Giri
Journal: Trans. Amer. Math. Soc. 213 (1975), 53-60
MSC: Primary 08A15
MathSciNet review: 0382120
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Abstract: Shafaat introduced two successive generalisations of the variety of algebras: namely the semivariety and the quasivariety. We study a slightly more generalised concept which we call a pseudovariety.


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DOI: http://dx.doi.org/10.1090/S0002-9947-1975-0382120-3
PII: S 0002-9947(1975)0382120-3
Keywords: Implicational class, implications, pseudovariety, varietal structure, countable character, inverse limit, full subcategory, finite basis property, lattice
Article copyright: © Copyright 1975 American Mathematical Society