کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4650257 1342481 2008 10 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Largest subsemigroups of the full transformation monoid
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات گسسته و ترکیبات
پیش نمایش صفحه اول مقاله
Largest subsemigroups of the full transformation monoid
چکیده انگلیسی

In this paper we are concerned with the following question: for a semigroup S  , what is the largest size of a subsemigroup T⩽ST⩽S where T has a given property? The semigroups S that we consider are the full transformation semigroups; all mappings from a finite set to itself under composition of mappings. The subsemigroups T   that we consider are of one of the following types: left zero, right zero, completely simple, or inverse. Furthermore, we find the largest size of such subsemigroups UU where the least rank of an element in UU is specified. Numerous examples are given.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Discrete Mathematics - Volume 308, Issue 20, 28 October 2008, Pages 4801–4810
نویسندگان
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