کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4588171 1334175 2008 62 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Polynomial growth in semigroup varieties
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
Polynomial growth in semigroup varieties
چکیده انگلیسی

In 1989 M. Sapir posed the problem of describing all semigroup varieties where every finitely generated (f.g.) semigroup has polynomial growth. Here we find the solution of this problem for the case of an arbitrary nonperiodic semigroup variety defined by a system of identities over a finite set of variables. We also show that there exists an algorithm to decide whether or not the given finite system of homogeneous semigroup identities defines a variety where every f.g. semigroup has polynomial growth.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Algebra - Volume 320, Issue 6, 15 September 2008, Pages 2218-2279