کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4651403 1342542 2006 9 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Varieties of algebras arising from K-perfect m-cycle systems
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات گسسته و ترکیبات
پیش نمایش صفحه اول مقاله
Varieties of algebras arising from K-perfect m-cycle systems
چکیده انگلیسی

A class of algebras forms a variety if it is characterised by a collection of identities. There is a well-known method, often called the standard construction, which gives rise to algebras from m  -cycle systems. It is known that the algebras arising from {1}{1}-perfect m  -cycle systems form a variety for m∈{3,5}m∈{3,5} only, and that the algebras arising from {1,2}{1,2}-perfect m  -cycle systems form a variety for m∈{3,5,7}m∈{3,5,7} only. Here we give, for any set K of positive integers, necessary and sufficient conditions under which the algebras arising from K-perfect m-cycle systems form a variety.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Discrete Mathematics - Volume 306, Issue 17, 6 September 2006, Pages 2038–2046
نویسندگان
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