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Algebra over estimation algorithms: Normalization and division

✍ Scribed by A. G. D’yakonov


Book ID
110194749
Publisher
SP MAIK Nauka/Interperiodica
Year
2007
Tongue
English
Weight
222 KB
Volume
47
Category
Article
ISSN
0965-5425

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Linear equations and heights over divisi
✍ Christine Liebendörfer 📂 Article 📅 2004 🏛 Elsevier Science 🌐 English ⚖ 389 KB

We make a start on the investigation of ''small'' solutions to systems of homogeneous linear equations over non-commutative division algebras. In this paper we prove some upper and lower bounds for the sizes of solutions to such systems. To measure solutions and coefficient matrices we define height