Transfinite normal and composition series of modules

2009/09/10 by Ruslan Sharipov, Sharipov, Ruslan
Mathematics · #16D70 #FOS: Mathematics #Representation Theory (math.RT) #Rings and Algebras (math.RA) #math.RA #math.RT #msc:16D70

paper · pdf · doi:10.48550/arxiv.0909.2068

AmSTeX, 7 pages, amsppt style

arxiv created 2009/09/10 · arxiv updated 2009/12/01

Abstract

Normal and composition series of modules enumerated by ordinal numbers are studied. The Jordan-Holder theorem for them is discussed.

Related

• Transfinite normal and composition series of groups
• Jordan-Hölder decomposition of regular (a, b)-modules
• Composition series of a class of induced representations built on discrete series
• An Upper Bound of Composition Series
• Jordan Hölder theorems for derived module categories of piecewise hereditary algebras