کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
5771992 1630434 2017 14 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
The pro-nilpotent group topology on a free group
ترجمه فارسی عنوان
توپولوژی گروه پرولینی ناتمام در یک گروه آزاد
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
چکیده انگلیسی
In this paper, we study the pro-nilpotent group topology on a free group. First we describe the closure of the product of finitely many finitely generated subgroups of a free group in the pro-nilpotent group topology and then present an algorithm to compute it. We deduce that the nil-closure of a rational subset of a free group is an effectively constructible rational subset and hence has decidable membership. We also prove that the Gnil-kernel of a finite monoid is computable and hence pseudovarieties of the form VⓜGnil have decidable membership problem, for every decidable pseudovariety of monoids V. Finally, we prove that the semidirect product J⁎Gnil has a decidable membership problem.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Algebra - Volume 480, 15 June 2017, Pages 332-345
نویسندگان
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