کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4585745 1630556 2012 7 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Genus of numerical semigroups generated by three elements
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
Genus of numerical semigroups generated by three elements
چکیده انگلیسی

Let H=〈a,b,c〉 be a numerical semigroup generated by three elements and let R=k[H] be its semigroup ring over a field k. We assume that H is not symmetric and assume that the defining ideal of R is defined by maximal minors of the matrix . Then we will show that the genus of H is determined by the Frobenius number F(H) and αβγ or α′β′γ′. In particular, we show that H is pseudo-symmetric if and only if αβγ=1 or α′β′γ′=1.Also, we will give a simple algorithm to get all the pseudo-symmetric numerical semigroups H=〈a,b,c〉 with given Frobenius number.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Algebra - Volume 358, 15 May 2012, Pages 67-73