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Title: Diagonal Reduction of Matrices Over Rings
Authors: Bohdan Zabavsky
ISBN: 978-966-8849-58-9
Price: 75.00 USD
Pages: 252
Format: 160x240 mm
Cover: cloth.
  
  [ Additional Info ] [ Contents ]
 
Abstract:
Additional Info:
  Mathematical Studies: Monograph Series. Volume 16
Contents:
PREFACE…5
1 PRELIMINARIES…18
2 FINITE STABLE RANGE RINGS…50
2.1 n-Hermite rings…50
2.2 Compact space of minimal prime ideals…65
2.3 Diagonalization of matrices…67
2.4 Direct finiteness of matrix rings…72
2.5 Cases of Hermite quotient ring…78
2.6 Stable range 1 rings…82
3 BEZOUT RINGS…86
3.1 Maximal nonprincipal ideals…87
3.2 Adequate rings and their generalizations…111
3.3 Maximal and prime specter…127
4 ELEMENTARY DIVISOR RINGS…136
4.1 Simple elementary divisor rings…137
4.2 Block-diagonal reduction of matrices…165
4.3 Elementary matrix reduction…174
4.4 Matrix reduction…186
4.5 Matrix reduction over Bezout ring…189
4.6 Weak diagonal reduction of matrices…192
4.7 Elementary divisor rings with L condition…196
4.8 Matrix reduction over atomic Bezout rings…200
4.9 Reduction over commutative Bezout rings…209
4.10 Simultaneous reduction of pair…215


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