کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
6416113 1631097 2016 21 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Lengths of quasi-commutative pairs of matrices
ترجمه فارسی عنوان
طول جفت های نیمه ماتریس
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
چکیده انگلیسی

In this paper we discuss some partial solutions of the length conjecture which describes the length of a generating system for matrix algebras. We consider mainly the sets of two matrices which are quasi-commuting. It is shown that in this case the length function is linearly bounded. We also analyze which particular natural numbers can be realized as the lengths of certain special generating sets and prove that for commuting or product-nilpotent pairs all possible numbers are realizable, however there are non-realizable values between lower and upper bounds for the other quasi-commuting pairs. In conclusion we also present several related open problems.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Linear Algebra and its Applications - Volume 498, 1 June 2016, Pages 450-470
نویسندگان
, , ,