Varieties of idempotent groupoids with small clones
J. Gałuszka (1999)
Colloquium Mathematicae
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We give an equational description of all idempotent groupoids with at most three essentially n-ary term operations.
J. Gałuszka (1999)
Colloquium Mathematicae
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We give an equational description of all idempotent groupoids with at most three essentially n-ary term operations.
J. Dudek (1996)
Colloquium Mathematicae
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The main result of this paper is a description of totally commutative idempotent groupoids. In particular, we show that if an idempotent groupoid (G,·) has precisely m ≥ 2 distinct essentially binary polynomials and they are all commutative, then G contains a subgroupoid isomorphic to the groupoid described below. In [2], this fact was proved for m = 2.
Glavosits, Tamás, Száz, Árpád (2002)
Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică
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Pestov, G.G. (2001)
Sibirskij Matematicheskij Zhurnal
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Petrescu, Adrian (2005)
Acta Universitatis Apulensis. Mathematics - Informatics
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Sarawut Phuapong, Sorasak Leeratanavalee (2011)
Matematički Vesnik
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Gumenyuk, P.A. (2002)
Sibirskij Matematicheskij Zhurnal
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Kenichi Arai, Hiroyuki Okazaki (2013)
Formalized Mathematics
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The binary set {0, 1} together with modulo-2 addition and multiplication is called a binary field, which is denoted by F2. The binary field F2 is defined in [1]. A vector space over F2 is called a binary vector space. The set of all binary vectors of length n forms an n-dimensional vector space Vn over F2. Binary fields and n-dimensional binary vector spaces play an important role in practical computer science, for example, coding theory [15] and cryptology. In cryptology, binary fields...
Tetruashvili, M. (1994)
Georgian Mathematical Journal
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Sverchkov, S.R. (2009)
Sibirskij Matematicheskij Zhurnal
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Maciej Burnecki (1993)
Colloquium Mathematicae
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