ON THE REPRESENTATION OF MODULES OVER FINITE CHAIN RINGS

TitleON THE REPRESENTATION OF MODULES OVER FINITE CHAIN RINGS
Publication TypeJournal Article
Year of Publication2017
AuthorsGeorgieva N, Landjev I
JournalAnnuaire de l’Université de Sofia “St. Kliment Ohridski”. Faculté de Mathématiques et Informatique
Volume104
Pagination89-98
ISSN0205-0808
Keywordsfinite chain rings, modules over finite chain rings, standard form of a matrix over a finite chain ring
Abstract
We define a standard form for matrices over finite chain rings and describe some basic operations on modules over such rings. These results are used as a tool for the investigation of network codes over finite chain rings and spreads in projective Hjelmslev geometries.
2000 MSC

16D10,16P10 (Primary); 51C05,94B05 (Secondary)

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