ISSN:
1420-8911
Keywords:
Key words and phrases: Variety, identity, probability, Fraser-Horn Property.
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract. Given a variety $ \cal V $ of algebras, what is the probability that for an arbitrary identity p $ \approx $ q the only algebra in $ \cal V $ that satisfies p $ \approx $ q is the trivial algebra? More generally, if $ \cal W $ is a subvariety of $ \cal V $ what is the probability that p $ \approx $ q together with the identities of $ \cal V $ forms an equational basis for $ \cal W $ ? We consider these questions for various $ \cal V $ and $ \cal W $ and we provide criteria that allow for explicit determination of these probabilities.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/s000120050062
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