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Canonical Objects in Classes of (n, V)-Groupoids

Celakoska-Jordanova, Vesna (2010)

Mathematica Balkanica New Series

AMS Subj. Classification: 03C05, 08B20Free algebras are very important in studying classes of algebras, especially varieties of algebras. Any algebra that belongs to a given variety of algebras can be characterized as a homomorphic image of a free algebra of that variety. Describing free algebras is an important task that can be quite complicated, since there is no general method to resolve this problem. The aim of this work is to investigate classes of groupoids, i.e. algebras with one binary operation,...

Characterizations of sub-semihypergroups by various triangular norms

B. Davvaz (2005)

Czechoslovak Mathematical Journal

We investigate the structure and properties of T L -sub-semihypergroups, where T is an arbitrary triangular norm on a given complete lattice L . We study its structure under the direct product and with respect to the fundamental relation. In particular, we consider L = [ 0 , 1 ] and T = min , and investigate the connection between T L -sub-semihypergroups and the probability space.

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