ON RESIDUALLY FINITE VARIETIES OF INVOLUTION SEMIGROUPS
نویسندگان
چکیده
منابع مشابه
On Residually Finite Semigroups of Cellullar Automata
We prove that if M is a monoid and A a finite set with more than one element, then the residual finiteness of M is equivalent to that of the monoid consisting of all cellular automata over M with alphabet A.
متن کاملon residually finite semigroups of cellullar automata
we prove that if $m$ is a monoid and $a$ a finite set with more than one element, then the residual finiteness of $m$ is equivalent to that of the monoid consisting of all cellular automata over $m$ with alphabet $a$.
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We show that a residually finite, congruence meet-semidistributive variety of finite type is residually < N for some finite N . This solves Pixley’s problem and a special case of the restricted Quackenbush problem.
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Subdirect representations are investigated in varieties which are defined by operations of not necessarily finite arity. It is shown that, in this context, Birkhoff’s Subdirect Representation Theorem does not hold. However, a class of unranked varieties is identified which admit subdirect representations by subdirectly irreducibles and then even are residually small.
متن کاملOn Residually Finite Knot Groups
The residual finiteness of the class of groups of fibred knots, or those knot groups with finitely generated and, therefore, free commutator subgroups, has been known for some time. Using Baumslag's results on absolutely parafree groups, this paper extends the result to twist knots (Whitehead doubles of the trivial knot) and certain other classes of nonfibred knots whose minimal spanning surfac...
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ژورنال
عنوان ژورنال: Journal of the Australian Mathematical Society
سال: 2010
ISSN: 1446-7887,1446-8107
DOI: 10.1017/s1446788710001552