On point-irreducible projective lattice geometries

Marcus Greferath; Stefan E. Schmidt

doi:10.1007/BF01222664

On point-irreducible projective lattice geometries

Marcus Greferath, Stefan E. Schmidt

Not published at Aalto University

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

Abstract

Within the conceptual frame of projective lattice geometry (as introduced in [5]) we are considering the class of all point-irreducible geometries. In the algebraic context these geometries are closely connected with unitary modules over local rings. Besides several synthetic investigations we obtain a lattice-geometric characterization of free left modules over right chain rings which allows a purely lattice-theoretic version in the Artinian case.

This paper results from a joint work of the authors at the Hungarian Academy of Sciences (Budapest) in the fall of 1991, supported by the DAAD.

Original language	Undefined/Unknown
Pages (from-to)	73-83
Number of pages	11
Journal	Journal of Geometry
Volume	50
Issue number	1-2
DOIs	https://doi.org/10.1007/BF01222664
Publication status	Published - 1994
MoE publication type	A1 Journal article-refereed

Access to Document

10.1007/BF01222664

http://dx.doi.org/10.1007/BF01222664

Cite this

@article{670ac8d48d3d4ebcae2d3331035e3e7c,

title = "On point-irreducible projective lattice geometries",

abstract = "Within the conceptual frame of projective lattice geometry (as introduced in [5]) we are considering the class of all point-irreducible geometries. In the algebraic context these geometries are closely connected with unitary modules over local rings. Besides several synthetic investigations we obtain a lattice-geometric characterization of free left modules over right chain rings which allows a purely lattice-theoretic version in the Artinian case.This paper results from a joint work of the authors at the Hungarian Academy of Sciences (Budapest) in the fall of 1991, supported by the DAAD.",

author = "Marcus Greferath and Schmidt, {Stefan E.}",

year = "1994",

doi = "10.1007/BF01222664",

language = "Ei tiedossa",

volume = "50",

pages = "73--83",

journal = "Journal of Geometry",

issn = "0047-2468",

publisher = "Birkhauser Verlag Basel",

number = "1-2",

}

TY - JOUR

T1 - On point-irreducible projective lattice geometries

AU - Greferath, Marcus

AU - Schmidt, Stefan E.

PY - 1994

Y1 - 1994

N2 - Within the conceptual frame of projective lattice geometry (as introduced in [5]) we are considering the class of all point-irreducible geometries. In the algebraic context these geometries are closely connected with unitary modules over local rings. Besides several synthetic investigations we obtain a lattice-geometric characterization of free left modules over right chain rings which allows a purely lattice-theoretic version in the Artinian case.This paper results from a joint work of the authors at the Hungarian Academy of Sciences (Budapest) in the fall of 1991, supported by the DAAD.

AB - Within the conceptual frame of projective lattice geometry (as introduced in [5]) we are considering the class of all point-irreducible geometries. In the algebraic context these geometries are closely connected with unitary modules over local rings. Besides several synthetic investigations we obtain a lattice-geometric characterization of free left modules over right chain rings which allows a purely lattice-theoretic version in the Artinian case.This paper results from a joint work of the authors at the Hungarian Academy of Sciences (Budapest) in the fall of 1991, supported by the DAAD.

U2 - 10.1007/BF01222664

DO - 10.1007/BF01222664

M3 - Article

VL - 50

SP - 73

EP - 83

JO - Journal of Geometry

JF - Journal of Geometry

SN - 0047-2468

IS - 1-2

ER -