کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
6414606 | 1630507 | 2014 | 25 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
On residual finiteness of monoids, their Schützenberger groups and associated actions
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: On residual finiteness of monoids, their Schützenberger groups and associated actions On residual finiteness of monoids, their Schützenberger groups and associated actions](/preview/png/6414606.png)
چکیده انگلیسی
In this paper we discuss connections between the following properties: (RFM) residual finiteness of a monoid M; (RFSG) residual finiteness of Schützenberger groups of M; and (RFRL) residual finiteness of the natural actions of M on its Green's R- and L-classes. The general question is whether (RFM) implies (RFSG) and/or (RFRL), and vice versa. We consider these questions in all the possible combinations of the following situations: M is an arbitrary monoid; M is an arbitrary regular monoid; every J-class of M has finitely many R- and L-classes; M has finitely many left and right ideals. In each case we obtain complete answers, which are summarised in a table.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Algebra - Volume 407, 1 June 2014, Pages 21-45
Journal: Journal of Algebra - Volume 407, 1 June 2014, Pages 21-45
نویسندگان
R.D. Gray, N. Ruškuc,