Limit distributions of the length and rank of a module generated by the columns of a random equiprobable matrix over a finite chain ring

DOI10.1007/BF02667046zbMath0958.16018OpenAlexW1991123996WikidataQ126226927 ScholiaQ126226927MaRDI QIDQ1968563

A. N. Alekseychuk

Publication date: 2 April 2001

Published in: Cybernetics and Systems Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02667046

zbMATH Keywords

random variablesnumbers of submoduleslimit distributionsprobabilitieschain ringslengths

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Finite rings and finite-dimensional associative algebras (16P10) Combinatorial probability (60C05) Noncommutative local and semilocal rings, perfect rings (16L30)

Related Items (2)

A probabilistic scheme of independent random elements distributed over a finite lattice. II: The method of lattice moments ⋮ Systems of random equations over finite algebraic structures

Cites Work

• Limit distribution of the number of solutions of a system of stochastic linear homogeneous equations with a uniform coefficient matrix over a finite local ring
• Enumeration of canonical matrices under row equivalence over a principal ideal domain modulo \(p^ n\)
• A Canonical Set For Matrices Over a Principal Ideal Ring Modulo m
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Limit distributions of the length and rank of a module generated by the columns of a random equiprobable matrix over a finite chain ring