ON THE REPRESENTATION OF MODULES OVER FINITE CHAIN RINGS

Nevyana Georgieva; Ivan Landjev

ON THE REPRESENTATION OF MODULES OVER FINITE CHAIN RINGS

Authors

Nevyana Georgieva
Ivan Landjev

Keywords:

finite 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.

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Published

2017-12-12

How to Cite

Georgieva, N., & Landjev, I. (2017). ON THE REPRESENTATION OF MODULES OVER FINITE CHAIN RINGS. Ann. Sofia Univ. Fac. Math. And Inf., 104, 89–98. Retrieved from https://ftl5.uni-sofia.bg/index.php/fmi/article/view/39