Wyniki wyszukiwania

Sortuj według:

Ogranicz wyniki do:

The existence of relative pure injective envelopes

100%

Zareh-Khoshchehreh F., Divaani-Aazar K.

Colloquium Mathematicum

2013

tom 130

nr 2

251-264

Let 𝓢 be a class of finitely presented R-modules such that R∈ 𝓢 and 𝓢 has a subset 𝓢* with the property that for any U∈ 𝓢 there is a U*∈ 𝓢* with U* ≅ U. We show that the class of 𝓢-pure injective R-modules is preenveloping. As an application, we deduce that the left global 𝓢-pure projective dimension of R is equal to its left global 𝓢-pure injective dimension. As our main result, we prove that, in fact, the class of 𝓢-pure injective R-modules is enveloping.

Ograniczanie wyników

1 Colloquium Mathematicum

1 Divaani-Aazar K.

1 Zareh-Khoshchehreh F.

1 2013

Wyniki wyszukiwania

The existence of relative pure injective envelopes