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 
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     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},
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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://www.numdam.org/articles/10.4171/RSMUP/135-7/

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