Displaying similar documents to “Constructions of (2,n)-varieties of groupoids for n = 7, 8, 9”

Three-variable equations of posets

Jaroslav Ježek (2002)

Czechoslovak Mathematical Journal

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We find an independent base for three-variable equations of posets.

Small idempotent clones. I

Józef Dudek (1998)

Czechoslovak Mathematical Journal

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G. Grätzer and A. Kisielewicz devoted one section of their survey paper concerning p n -sequences and free spectra of algebras to the topic “Small idempotent clones” (see Section 6 of [18]). Many authors, e.g., [8], [14, 15], [22], [25] and [29, 30] were interested in p n -sequences of idempotent algebras with small rates of growth. In this paper we continue this topic and characterize all idempotent groupoids ( G , · ) with p 2 ( G , · ) ≤ 2 (see Section 7). Such groupoids appear in many papers see, e.g. [1], [4],...

The group Sp10(ℤ) is (2,3)-generated

Vadim Vasilyev, Maxim Vsemirnov (2011)

Open Mathematics

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It is proved that the group Sp10(ℤ) is generated by an involution and an element of order 3.