𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Minimal number of idempotent generators for certain algebras

✍ Scribed by Dmitry Goldstein; Naum Krupnik

Publisher
SP Birkhäuser Verlag Basel
Year
2000
Tongue
English
Weight
511 KB
Volume
37
Category
Article
ISSN
0378-620X

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

On certain finite-dimensional algebras g
On certain finite-dimensional algebras generated by two idempotents
✍ A. Böttcher; I.M. Spitkovsky 📂 Article 📅 2011 🏛 Elsevier Science 🌐 English ⚖ 272 KB

This paper is concerned with algebras generated by two idempotents P and Q satisfying (PQ ) m = (QP) m and (PQ ) m-1 = (QP) m-1 . The main result is the classification of all these algebras, implying that for each m ≥ 2 there exist exactly eight nonisomorphic copies. As an application, it is shown t

The Minimum Number of Idempotent Generat
The Minimum Number of Idempotent Generators of an Upper Triangular Matrix Algebra
✍ A.V Kelarev; A.B van der Merwe; L van Wyk 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 161 KB

In order to prove the result mentioned above, we show that R s log m 2 for every m G 2, where R Ž m. denotes the direct sum of m copies of R. The Ž . latter result corrects an error by N.