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On Identities in AlgebrasQn,λ Generated by Idempotents

✍ Scribed by V. I. Rabanovich; Yu. S. Samoilenko; A. V. Strelets

Book ID
110335503
Publisher
Springer
Year
2001
Tongue
English
Weight
151 KB
Volume
53
Category
Article
ISSN
0041-5995

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📜 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