Jordan-Hölder sequences and self-adjoint $(a, b)$-modules

Details Jordan-Hölder sequences and self-adjoint $(a, b)$-modules Jordan-Hölder sequences and self-adjoint $(a, b)$-modules

2011-04-07

arxiv.org/abs/1104.1246v1

Mathematics

Complex Variables

10 pages

Scientific paper

Given the lack of uniqueness of the Jordan-H\"older composition series in the theory of $(a,b)$-modules we are interested whether the particularities of certain $(a,b)$-modules can be transmitted to their composition series. This article will focus on the properties of Jordan-H\"older composition series of self-adjoint $(a,b)$-modules. In particular we will prove that a self-adjoint composition series always exists for self-adjoint $(a,b)$-modules.

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