A note on the p-distributivity in non-Archimedean f-rings.

Joan Trías Pairó

Stochastica (1980)

  • Volume: 4, Issue: 2, page 169-172
  • ISSN: 0210-7821

Abstract

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Non-Archimedean f-rings need not be p-distributive. Moreover, if {di|i} is a subset of a non-Archimedean f-ring and a ≥ 0, the elements a vi di and vi adi need not be equal. We prove, however, that the difference is an infinitely small element when the ring has a strong unity.

How to cite

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Trías Pairó, Joan. "A note on the p-distributivity in non-Archimedean f-rings.." Stochastica 4.2 (1980): 169-172. <http://eudml.org/doc/38825>.

@article{TríasPairó1980,
abstract = {Non-Archimedean f-rings need not be p-distributive. Moreover, if \{di|i\} is a subset of a non-Archimedean f-ring and a ≥ 0, the elements a vi di and vi adi need not be equal. We prove, however, that the difference is an infinitely small element when the ring has a strong unity.},
author = {Trías Pairó, Joan},
journal = {Stochastica},
keywords = {Anillos; Propiedad distributiva; lattice-ordered ring; infinitely close elements; closed solid ideal; f- ring},
language = {eng},
number = {2},
pages = {169-172},
title = {A note on the p-distributivity in non-Archimedean f-rings.},
url = {http://eudml.org/doc/38825},
volume = {4},
year = {1980},
}

TY - JOUR
AU - Trías Pairó, Joan
TI - A note on the p-distributivity in non-Archimedean f-rings.
JO - Stochastica
PY - 1980
VL - 4
IS - 2
SP - 169
EP - 172
AB - Non-Archimedean f-rings need not be p-distributive. Moreover, if {di|i} is a subset of a non-Archimedean f-ring and a ≥ 0, the elements a vi di and vi adi need not be equal. We prove, however, that the difference is an infinitely small element when the ring has a strong unity.
LA - eng
KW - Anillos; Propiedad distributiva; lattice-ordered ring; infinitely close elements; closed solid ideal; f- ring
UR - http://eudml.org/doc/38825
ER -

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