کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4589155 1334209 2007 9 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A construction of finite Frobenius rings and its application to partial difference sets
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
A construction of finite Frobenius rings and its application to partial difference sets
چکیده انگلیسی

If R is a homomorphic image of a finite Frobenius local ring, there is a known construction that produces Latin square type partial difference sets (PDS) in R×R. By a simple construction, we show that every finite ring is a homomorphic image of a finite Frobenius ring and every finite local ring is a homomorphic image of a finite Frobenius local ring. Consequently, Latin square type PDS can be constructed in R×R for any finite local ring R, where the additive group (R,+) can be any finite abelian p-group.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Algebra - Volume 309, Issue 1, 1 March 2007, Pages 1-9