Direct sums of semi-projective modules
Derya Keskin Tütüncü; Berke Kaleboğaz; Patrick F. Smith
Colloquium Mathematicae (2012)
- Volume: 127, Issue: 1, page 67-81
- ISSN: 0010-1354
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topDerya Keskin Tütüncü, Berke Kaleboğaz, and Patrick F. Smith. "Direct sums of semi-projective modules." Colloquium Mathematicae 127.1 (2012): 67-81. <http://eudml.org/doc/283633>.
@article{DeryaKeskinTütüncü2012,
abstract = {We investigate when the direct sum of semi-projective modules is semi-projective. It is proved that if R is a right Ore domain with right quotient division ring Q ≠ R and X is a free right R-module then the right R-module Q ⊕ X is semi-projective if and only if there does not exist an R-epimorphism from X to Q.},
author = {Derya Keskin Tütüncü, Berke Kaleboğaz, Patrick F. Smith},
journal = {Colloquium Mathematicae},
keywords = {semi-projective modules; direct sums; right Ore domains; quotient rings; direct summands},
language = {eng},
number = {1},
pages = {67-81},
title = {Direct sums of semi-projective modules},
url = {http://eudml.org/doc/283633},
volume = {127},
year = {2012},
}
TY - JOUR
AU - Derya Keskin Tütüncü
AU - Berke Kaleboğaz
AU - Patrick F. Smith
TI - Direct sums of semi-projective modules
JO - Colloquium Mathematicae
PY - 2012
VL - 127
IS - 1
SP - 67
EP - 81
AB - We investigate when the direct sum of semi-projective modules is semi-projective. It is proved that if R is a right Ore domain with right quotient division ring Q ≠ R and X is a free right R-module then the right R-module Q ⊕ X is semi-projective if and only if there does not exist an R-epimorphism from X to Q.
LA - eng
KW - semi-projective modules; direct sums; right Ore domains; quotient rings; direct summands
UR - http://eudml.org/doc/283633
ER -
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