𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Orthomodular posets of idempotents in finite rings of matrices

✍ Scribed by Jürgen Flachsmeyer


Publisher
Springer
Year
1995
Tongue
English
Weight
310 KB
Volume
34
Category
Article
ISSN
0020-7748

No coin nor oath required. For personal study only.


📜 SIMILAR VOLUMES


Diagonability of idempotent matrices ove
✍ Guangtian Song; Xuejun Guo 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 83 KB

Let R be an arbitrary ring. In this paper, the following statements are proved: (a) Each idempotent matrix over R can be diagonalized if and only if each idempotent matrix over R has a characteristic vector. (b) An idempotent matrix over R can be diagonalized under a similarity transformation if and

Reduced Idempotents in the Semigroup of
✍ Janusz Konieczny 📂 Article 📅 1995 🏛 Elsevier Science 🌐 English ⚖ 368 KB

We present an algorithm that generates all reduced idempotents in the semigroup of \(n \times n\) Boolean matrices. As a consequence, we obtain a method of listing all partial order relations on a finite set with \(n\) elements.