FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2005, VOLUME 11, NUMBER 3, PAGES 127-137

Ring geometries and their lattices

A. A. Lashkhi

Abstract

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We construct a notion of a generalized geometrical lattice, allowing us to obtain an analog of matroid theory for the case of arbitrary principal ideal rings.

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Last modified: September 14, 2005