Strongly FP-injective and strongly flat functors
Mao, Lixin1
1 Nanjing Institute of Technology, NANJING, JIANGSU, CHINA
Rendiconti del Seminario Matematico della Università di Padova, Tome 135 (2016), pp. 133-149.

A functor F∈ (mod-R, Ab) is called strongly FP-injective if F is isomorphic to some functor -⊗M in (mod-R, Ab) with M an FP-injective left R-module. A functor G∈ ((mod-R) op Ab) is said to be strongly flat if G is isomorphic to some functor (-,N) in ((mod-R) op , Ab) with N a flat right R-module. We study the properties of strongly FP-injective functors and explore the relationship between strongly FP-injective functors and strongly flat functors. Precovers and preenvelopes by strongly FP-injective and strongly flat functors are also investigated.

DOI : 10.4171/RSMUP/135-7
Classification : 16, 18
Mots clés : Strongly FP-injective functor, FP-injective functor, strongly flat functor, flat functor, (pre)cover, (pre)envelope
Mao, Lixin 1

1 Nanjing Institute of Technology, NANJING, JIANGSU, CHINA 
@article{RSMUP_2016__135__133_0,
     author = {Mao, Lixin},
     title = {Strongly {FP-injective} and strongly flat functors},
     journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova},
     pages = {133--149},
     publisher = {European Mathematical Society Publishing House},
     address = {Zuerich, Switzerland},
     volume = {135},
     year = {2016},
     doi = {10.4171/RSMUP/135-7},
     url = {http://archive.numdam.org/articles/10.4171/RSMUP/135-7/}
}
TY  - JOUR
AU  - Mao, Lixin
TI  - Strongly FP-injective and strongly flat functors
JO  - Rendiconti del Seminario Matematico della Università di Padova
PY  - 2016
SP  - 133
EP  - 149
VL  - 135
PB  - European Mathematical Society Publishing House
PP  - Zuerich, Switzerland
UR  - http://archive.numdam.org/articles/10.4171/RSMUP/135-7/
DO  - 10.4171/RSMUP/135-7
ID  - RSMUP_2016__135__133_0
ER  - 
%0 Journal Article
%A Mao, Lixin
%T Strongly FP-injective and strongly flat functors
%J Rendiconti del Seminario Matematico della Università di Padova
%D 2016
%P 133-149
%V 135
%I European Mathematical Society Publishing House
%C Zuerich, Switzerland
%U http://archive.numdam.org/articles/10.4171/RSMUP/135-7/
%R 10.4171/RSMUP/135-7
%F RSMUP_2016__135__133_0
Mao, Lixin. Strongly FP-injective and strongly flat functors. Rendiconti del Seminario Matematico della Università di Padova, Tome 135 (2016), pp. 133-149. doi : 10.4171/RSMUP/135-7. http://archive.numdam.org/articles/10.4171/RSMUP/135-7/

Cité par Sources :