Free groupoids with axioms of the form and/or .
Čupona, Ǵorǵi, Celakoski, Naum, Janeva, Biljana (1999)
Novi Sad Journal of Mathematics
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Čupona, Ǵorǵi, Celakoski, Naum, Janeva, Biljana (1999)
Novi Sad Journal of Mathematics
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Jaroslav Ježek, Tomáš Kepka (1989)
Czechoslovak Mathematical Journal
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D.A. Bredikhin (1992)
Semigroup forum
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Čupona, Ǵorǵi, Ilić, Snežana (1999)
Novi Sad Journal of Mathematics
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T.A. Martynova (1983)
Semigroup forum
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Tomáš Kepka, Petr Němec (2003)
Acta Universitatis Carolinae. Mathematica et Physica
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Celakoska-Jordanova, Vesna (2010)
Mathematica Balkanica New Series
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AMS Subj. Classification: 03C05, 08B20 Free 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...
David Stanovský (2004)
Discussiones Mathematicae - General Algebra and Applications
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We describe a part of the lattice of subvarieties of left distributive left idempotent groupoids (i.e. those satisfying the identities x(yz) ≈ (xy)(xz) and (xx)y ≈ xy) modulo the lattice of subvarieties of left distributive idempotent groupoids. A free groupoid in a subvariety of LDLI groupoids satisfying an identity xⁿ ≈ x decomposes as the direct product of its largest idempotent factor and a cycle. Some properties of subdirectly ireducible LDLI groupoids are found.
John T. Baldwin, Joel Berman (1976)
Colloquium Mathematicae
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