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Automorphisms of({{ m M_{n}}(mathbb{D})}), Partially Ordered by Rank Subtractivity Ordering

✍ Scribed by Taghavi, Ali; Karder, Mahdi

Book ID
121013010
Publisher
SP Birkhäuser Verlag Basel
Year
2013
Tongue
English
Weight
267 KB
Volume
11
Category
Article
ISSN
1660-5446

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A partial m=(2k+1)-cycle system of order
A partial m=(2k+1)-cycle system of order n can be embedded in an m-cycle system of order (2n+1)m
✍ C.C. Lindner; C.A. Rodger 📂 Article 📅 1993 🏛 Elsevier Science 🌐 English ⚖ 566 KB

A generalization of Cruse's Theorem on embedding partial idempotent commutative latin squares is developed and used to show that a partial m = (2k + I)-cycle system of order n can be embedded in an m-cycle system of order tm for every odd t 2 (2n + 1).