Homological dimensions in cotorsion pairs

LA Hügel, OM Hernández - Illinois Journal of Mathematics, 2009 - projecteuclid.org
Given a ring $ R $, two classes $\mathcal A $ and $\mathcal B $ of $ R $-modules are said
to form a cotorsion pair $(\mathcal A,\mathcal B) $ in $\operatorname {Mod} R $ if $\mathcal …

[PDF][PDF] HOMOLOGICAL DIMENSIONS IN COTORSION PAIRS

LA HÜGEL, OM HERNÁNDEZ - Illinois Journal of Mathematics, 2009 - researchgate.net
Given a ring R, two classes A and B of R-modules are said to form a cotorsion pair (A, B) in
ModR if A= Ker Ext1 R (−, B) and B= Ker Ext1 R (A,−). We investigate relative homological …

Homological dimensions in cotorsion pairs

L Angeleri, O Mendoza - ILLINOIS JOURNAL OF MATHEMATICS, 2009 - iris.univr.it
Given a ring R, two classes A and B of R-modules are said to form a cotorsion pair (A, beta)
in Mod R if A= Ker Ext (R)(1)(-, beta) and beta= KerExt (R)(1)(A,-). We investigate relative …

Homological dimensions in cotorsion pairs

L Angeleri Hügel, O Mendoza Hernández - Illinois J. Math., 2009 - dml.mathdoc.fr
Given a ring R, two classes $\mathcal {A} $ and $\mathcal {B} $ of R-modules are said to
form a cotorsion pair $(\mathcal {A},\mathcal {B}) $ in Mod R if $\mathcal {A}=\operatorname …

Homological Dimensions in Cotorsion Pairs

LA Hugel, OM Hernandez - arXiv preprint arXiv:0808.1585, 2008 - arxiv.org
Two classes $\mathcal A $ and $\mathcal B $ of modules over a ring $ R $ are said to form a
cotorsion pair $(\mathcal A,\mathcal B) $ if $\mathcal A={\rm Ker Ext}^ 1_R (-,\mathcal B) …

[PDF][PDF] HOMOLOGICAL DIMENSIONS IN COTORSION PAIRS

LA HÜGEL, OM HERNÁNDEZ - Illinois Journal of Mathematics, 2009 - Citeseer
Given a ring R, two classes A and B of R-modules are said to form a cotorsion pair (A, B) in
ModR if A= Ker Ext1 R (−, B) and B= Ker Ext1 R (A,−). We investigate relative homological …

HOMOLOGICAL DIMENSIONS IN COTORSION PAIRS

LA HÜGEL, OM HERNÁNDEZ - Illinois Journal of Mathematics, 2009 - projecteuclid.org
Given a ring R, two classes A and B of R-modules are said to form a cotorsion pair (A, B) in
ModR if A= Ker Ext1 R (−, B) and B= Ker Ext1 R (A,−). We investigate relative homological …

[PDF][PDF] HOMOLOGICAL DIMENSIONS IN COTORSION PAIRS

LA HÜGEL, O MENDOZA - arXiv preprint arXiv:0808.1585, 2008 - academia.edu
Two classes A and B of modules over a ring R are said to form a cotorsion pair (A, B) if A=
Ker Ext1 R (−, B) and B= Ker Ext1 R (A,−). We investigate relative homological dimensions in …

Homological Dimensions in Cotorsion Pairs

L Angeleri Hugel, O Mendoza Hernandez - arXiv e-prints, 2008 - ui.adsabs.harvard.edu
Two classes $\mathcal A $ and $\mathcal B $ of modules over a ring $ R $ are said to form a
cotorsion pair $(\mathcal A,\mathcal B) $ if $\mathcal A={\rm Ker Ext}^ 1_R (-,\mathcal B) …

Homological Dimensions in Cotorsion Pairs

LA Hugel, OM Hernandez - arXiv, 2008 - dml.mathdoc.fr
Two classes $\mathcal A $ and $\mathcal B $ of modules over a ring $ R $ are said to form a
cotorsion pair $(\mathcal A,\mathcal B) $ if $\mathcal A={\rm Ker Ext}^ 1_R (-,\mathcal B) …