Matrix equations over rings

✍ Scribed by John Jones Jr.

• Publisher: Elsevier Science
• Year: 1983
• Tongue: English
• Weight: 286 KB
• Volume: 25
• Category: Article
• ISSN: 0378-4754
• DOI: 10.1016/0378-4754(83)90117-9

✦ Synopsis

The main purpose of this work is to establish necessary conditions and sufficient conditions for the existence of a solution of matrix equations whose coefficient matrices have elements belonging to the ring R=t [zl,z2,...,zn] of polynomials in n variables with complex coefficients and the ring R=~[z~,z~,...,z,]~ of rational functions a(zl,z2,...zn)b(z1,z2,...,zn)-1 with real coefficients and b(y,y,..., zn)#O for all (2 n l's*'...' zn