Join-Irreducible Cross Product Varieties of Groups
نویسندگان
چکیده
منابع مشابه
Maltsev Families of Varieties Closed under Join or Maltsev Product
Maltsev families of varieties which are closed under join or Maltsev product are investigated. New Maltsev conditions for congruence semi-distributivity are given.
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We begin a systematic study of those finite semigroups that generate join irreducible members of the lattice of pseudovarieties of finite semigroups, which are important for the spectral theory of this lattice. Finite semigroups S that generate join irreducible pseudovari-eties are characterized as follows: whenever S divides a direct product A × B of finite semigroups, then S divides either A ...
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This paper is a contribution to the study of a quasi-order on the set Ω of Boolean functions, the simple minor quasi-order. We look at the join-irreducible members of the resulting poset Ω̃. Using a two-way correspondence between Boolean functions and hypergraphs, join-irreducibility translates into a combinatorial property of hypergraphs. We observe that among Steiner systems, those which yield...
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Our title has become something of a misnomer, however we retain it since drafts of this note have been quoted with it. Unless otherwise stated our terminology and notation follow that in Hanna Neumann's book [12]. The Oates-Powell Theorem ([12] p. 151) allows us to say that a variety is Cross if and only if it can be generated by a finite group, and to assert that the laws of a Cross variety ar...
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 1974
ISSN: 0002-9947
DOI: 10.2307/1997250