On stable geometries

Marcus Greferath; Stefan E. Schmidt

doi:10.1007/BF01265328

On stable geometries

Marcus Greferath, Stefan E. Schmidt

Not published at Aalto University

Research output: Contribution to journal › Article › Scientific › peer-review

1 Citation (Scopus)

Abstract

Within the concept of projective lattice geometry we are considering the class of stable geometries which have also been introduced in [14]. The investigation of their basic properties will result in fundamental structure theorems which especially give a lattice-geometric characterization of free left modules of rank ≥6 over proper right Bezout rings of stable rank 2. This yields a proper generalization of previous results of ours.

Original language	Undefined/Unknown
Pages (from-to)	181-199
Number of pages	19
Journal	GEOMETRIAE DEDICATA
Volume	51
Issue number	2
DOIs	https://doi.org/10.1007/BF01265328
Publication status	Published - 1994
MoE publication type	A1 Journal article-refereed

Access to Document

10.1007/BF01265328

http://dx.doi.org/10.1007/BF01265328

Cite this

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title = "On stable geometries",

abstract = "Within the concept of projective lattice geometry we are considering the class of stable geometries which have also been introduced in [14]. The investigation of their basic properties will result in fundamental structure theorems which especially give a lattice-geometric characterization of free left modules of rank ≥6 over proper right Bezout rings of stable rank 2. This yields a proper generalization of previous results of ours.",

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year = "1994",

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AU - Greferath, Marcus

AU - Schmidt, Stefan E.

PY - 1994

Y1 - 1994

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AB - Within the concept of projective lattice geometry we are considering the class of stable geometries which have also been introduced in [14]. The investigation of their basic properties will result in fundamental structure theorems which especially give a lattice-geometric characterization of free left modules of rank ≥6 over proper right Bezout rings of stable rank 2. This yields a proper generalization of previous results of ours.

U2 - 10.1007/BF01265328

DO - 10.1007/BF01265328

M3 - Article

VL - 51

SP - 181

EP - 199

JO - GEOMETRIAE DEDICATA

JF - GEOMETRIAE DEDICATA

SN - 0046-5755

IS - 2

ER -