Babbitt, Donald G. <br/><br/>
Deformations of Nilpotent Matrices Over Rings and Reduction of Analytic Families of Meromorphic Differential Equations. 

 - 1st ed. 
 - 1 online resource (157 pages) 
 - Memoirs of the American Mathematical Society ;  v.55 .
 - Memoirs of the American Mathematical Society .
<br/><br/>Intro -- CONTENTS -- 1. INTRODUCTION -- NILPOTENT MATRICES OVER INTEGRAL DOMAINS: STRUCTURE AND DEFORMATION -- 2. The invariants l[sub(j)] -- 3. Local deformations of endomorphisms and modules over discrete valuation rings -- 4. Upper semicontinuity of l. Structure of deformations with constant l. -- 5. Admissible nilpotents and their transversal deformations -- REDUCTION THEORY OF CONNECTIONS OVER INTEGRALLY CLOSED NOETHERIAN DOMAINS -- 6. Generalities and preliminaries -- 7. Connections over Dedekind domains -- 8. The general case: reduction in the category of differential modules -- REDUCTION OF CONNECTIONS OVER θ[sub(d)] -- 9. The main theorem for well-behaved connections over θ[sub(d)] -- 10. Reduction of regulated connections -- APPENDIX -- REFERENCES. 
<br/><br/><label>ISBN: </label>9781470407384 
<br/><br/><label>Subjects--Topical Terms: </label><br/>Differential equations, Linear.<br/>Functions, Meromorphic.<br/>Singularities (Mathematics).<br/>Matrices.<br/>Rings (Algebra).
<br/><br/><label>Index Terms--Genre/Form: </label><br/>Electronic books.
<br/><br/><label>LC Class. No.: </label>QA372 -- .B333 1985eb 
<br/><br/><label>Dewey Class. No.: </label>515.3/54