On non singular p-inyective rings.

Yasuyuki Hirano

Publicacions Matemàtiques (1994)

  • Volume: 38, Issue: 2, page 455-461
  • ISSN: 0214-1493

Abstract

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A ring R is said to be left p-injective if, for any principal left ideal I of R, any left R-homomorphism I into R extends to one of R into itself. In this note left nonsingular left p-injective rings are characterized using their maximal left rings of quotients and the structure of semiprime left p-injective rings of bounded index is investigated.

How to cite

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Hirano, Yasuyuki. "On non singular p-inyective rings.." Publicacions Matemàtiques 38.2 (1994): 455-461. <http://eudml.org/doc/41176>.

@article{Hirano1994,
abstract = {A ring R is said to be left p-injective if, for any principal left ideal I of R, any left R-homomorphism I into R extends to one of R into itself. In this note left nonsingular left p-injective rings are characterized using their maximal left rings of quotients and the structure of semiprime left p-injective rings of bounded index is investigated.},
author = {Hirano, Yasuyuki},
journal = {Publicacions Matemàtiques},
keywords = {Anillos regulares; Módulos inyectivos; Pi módulo; maximal left quotient rings; semiprime left -injective rings},
language = {eng},
number = {2},
pages = {455-461},
title = {On non singular p-inyective rings.},
url = {http://eudml.org/doc/41176},
volume = {38},
year = {1994},
}

TY - JOUR
AU - Hirano, Yasuyuki
TI - On non singular p-inyective rings.
JO - Publicacions Matemàtiques
PY - 1994
VL - 38
IS - 2
SP - 455
EP - 461
AB - A ring R is said to be left p-injective if, for any principal left ideal I of R, any left R-homomorphism I into R extends to one of R into itself. In this note left nonsingular left p-injective rings are characterized using their maximal left rings of quotients and the structure of semiprime left p-injective rings of bounded index is investigated.
LA - eng
KW - Anillos regulares; Módulos inyectivos; Pi módulo; maximal left quotient rings; semiprime left -injective rings
UR - http://eudml.org/doc/41176
ER -

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