کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4596305 1336161 2014 12 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Groups acting on tensor products
ترجمه فارسی عنوان
گروه هایی که بر روی محصولات تانسور عمل می کنند
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
چکیده انگلیسی

Groups preserving a distributive product are encountered often in algebra. Examples include automorphism groups of associative and nonassociative rings, classical groups, and automorphism groups of p-groups. While the great variety of such products precludes any realistic hope of describing the general structure of the groups that preserve them, it is reasonable to expect that insight may be gained from an examination of the universal distributive products: tensor products. We give a detailed description of the groups preserving tensor products over semisimple and semiprimary rings, and present effective algorithms to construct generators for these groups. We also discuss applications of our methods to algorithmic problems for which all currently known methods require an exponential amount of work.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Pure and Applied Algebra - Volume 218, Issue 3, March 2014, Pages 405-416