کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4672866 1346597 2012 18 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Group inversion in certain finite-dimensional algebras generated by two idempotents
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات (عمومی)
پیش نمایش صفحه اول مقاله
Group inversion in certain finite-dimensional algebras generated by two idempotents
چکیده انگلیسی

Invertibility in Banach algebras generated by two idempotents can be checked with the help of a theorem by Roch, Silbermann, Gohberg, and Krupnik. This theorem cannot be used to study generalized invertibility. The present paper is devoted to group invertibility in two types of finite-dimensional algebras which are generated by two idempotents, algebras generated by two tightly coupled idempotents on the one hand and algebras of dimension at most four on the other. As a side product, the paper gives the classification of all at most four-dimensional algebras which are generated by two idempotents.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Indagationes Mathematicae - Volume 23, Issue 4, December 2012, Pages 715–732
نویسندگان
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