# A representation theorem for certain Boolean lattices.

Publicacions Matemàtiques (1988)

- Volume: 32, Issue: 1, page 111-113
- ISSN: 0214-1493

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topRíos Montes, José. "A representation theorem for certain Boolean lattices.." Publicacions Matemàtiques 32.1 (1988): 111-113. <http://eudml.org/doc/41026>.

@article{RíosMontes1988,

abstract = {Let R be an associative ring with 1 and R-tors the somplete Brouwerian lattice of all hereditary torsion theories on the category of left R-modules. A well known result asserts that R is a left semiartinian ring iff R-tors is a complete atomic Boolean lattice. In this note we prove that if L is a complete atomic Boolean lattice then there exists a left semiartinian ring R such that L is lattice-isomorphic to R-tors.},

author = {Ríos Montes, José},

journal = {Publicacions Matemàtiques},

keywords = {Retículos; Torsión; Brouwerian lattice; hereditary torsion theories on the category of left R-modules; complete atomic Boolean lattice; left semiartinian ring},

language = {eng},

number = {1},

pages = {111-113},

title = {A representation theorem for certain Boolean lattices.},

url = {http://eudml.org/doc/41026},

volume = {32},

year = {1988},

}

TY - JOUR

AU - Ríos Montes, José

TI - A representation theorem for certain Boolean lattices.

JO - Publicacions Matemàtiques

PY - 1988

VL - 32

IS - 1

SP - 111

EP - 113

AB - Let R be an associative ring with 1 and R-tors the somplete Brouwerian lattice of all hereditary torsion theories on the category of left R-modules. A well known result asserts that R is a left semiartinian ring iff R-tors is a complete atomic Boolean lattice. In this note we prove that if L is a complete atomic Boolean lattice then there exists a left semiartinian ring R such that L is lattice-isomorphic to R-tors.

LA - eng

KW - Retículos; Torsión; Brouwerian lattice; hereditary torsion theories on the category of left R-modules; complete atomic Boolean lattice; left semiartinian ring

UR - http://eudml.org/doc/41026

ER -

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