Uncountably Generated Algebras of Everywhere Surjective Functions
نویسندگان
چکیده
منابع مشابه
On Surjective Kernels of Partial Algebras
A partial algebra A = (A, F ) is called surjective if each of its elements lies in the range of some of its operations. By a transfinite iteration construction over the class of all ordinals it is proved that in each partial algebra A there exists the largest surjective subalgebra Skr A, called the surjective kernel of A. However, what might be found a bit surprising, for each ordinal α there i...
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We prove that any countable set of surjective functions on an infinite set of cardinality אn with n ∈ N can be generated by at most n/2 + 9n/2 + 7 surjective functions of the same set; and there exist n/2 + 9n/2 + 7 surjective functions that cannot be generated by any smaller number of surjections. We also present several analogous results for other classical infinite transformation semigroups ...
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ژورنال
عنوان ژورنال: Bulletin of the Belgian Mathematical Society - Simon Stevin
سال: 2010
ISSN: 1370-1444
DOI: 10.36045/bbms/1284570738