Split-null extensions of strongly right bounded rings.

Birkenmeier, Gary F.. "Split-null extensions of strongly right bounded rings.." Publicacions Matemàtiques 34.1 (1990): 37-44. <http://eudml.org/doc/41112>.

@article{Birkenmeier1990,
abstract = {A ring is said to be strongly right bounded if every nonzero right ideal contains a nonzero ideal. In this paper strongly right bounded rings are characterized, conditions are determined which ensure that the split-null (or trivial) extension of a ring is strongly right bounded, and we characterize strongly right bounded right quasi-continuous split-null extensions of a left faithful ideal over a semiprime ring. This last result partially generalizes a result of C. Faith concerning split-null extensions of commutative FPF rings.},
author = {Birkenmeier, Gary F.},
journal = {Publicacions Matemàtiques},
keywords = {Teoría de anillos; Anillos; right ideal; bimodule; trivial extension; strongly right bounded; right quasi-FPF},
language = {eng},
number = {1},
pages = {37-44},
title = {Split-null extensions of strongly right bounded rings.},
url = {http://eudml.org/doc/41112},
volume = {34},
year = {1990},
}

TY - JOUR
AU - Birkenmeier, Gary F.
TI - Split-null extensions of strongly right bounded rings.
JO - Publicacions Matemàtiques
PY - 1990
VL - 34
IS - 1
SP - 37
EP - 44
AB - A ring is said to be strongly right bounded if every nonzero right ideal contains a nonzero ideal. In this paper strongly right bounded rings are characterized, conditions are determined which ensure that the split-null (or trivial) extension of a ring is strongly right bounded, and we characterize strongly right bounded right quasi-continuous split-null extensions of a left faithful ideal over a semiprime ring. This last result partially generalizes a result of C. Faith concerning split-null extensions of commutative FPF rings.
LA - eng
KW - Teoría de anillos; Anillos; right ideal; bimodule; trivial extension; strongly right bounded; right quasi-FPF
UR - http://eudml.org/doc/41112
ER -