Modules commuting (via Hom) with some limits

Robert El Bashir; Tomáš Kepka

Fundamenta Mathematicae (1998)

  • Volume: 155, Issue: 3, page 271-292
  • ISSN: 0016-2736

Abstract

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For every module M we have a natural monomorphism   Φ : ∐ i ∈ I H o m R ( A i , M ) → H o m R ( ∏ i ∈ I A i , M ) and we focus attention on the case when Φ is also an epimorphism. The corresponding modules M depend on thickness of the cardinal number card(I). Some other limits are also considered.

How to cite

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El Bashir, Robert, and Kepka, Tomáš. "Modules commuting (via Hom) with some limits." Fundamenta Mathematicae 155.3 (1998): 271-292. <http://eudml.org/doc/212256>.

@article{ElBashir1998,
abstract = {For every module M we have a natural monomorphism  $Φ: ∐_\{i ∈ I\} Hom _R (A_i,M) → Hom _R (∏_\{i ∈I\} A_i, M)$ and we focus attention on the case when Φ is also an epimorphism. The corresponding modules M depend on thickness of the cardinal number card(I). Some other limits are also considered.},
author = {El Bashir, Robert, Kepka, Tomáš},
journal = {Fundamenta Mathematicae},
keywords = {slender modules; -slim modules; -slender modules; approximation property; pull-backs; -slim homomorphisms; direct products; direct sums},
language = {eng},
number = {3},
pages = {271-292},
title = {Modules commuting (via Hom) with some limits},
url = {http://eudml.org/doc/212256},
volume = {155},
year = {1998},
}

TY - JOUR
AU - El Bashir, Robert
AU - Kepka, Tomáš
TI - Modules commuting (via Hom) with some limits
JO - Fundamenta Mathematicae
PY - 1998
VL - 155
IS - 3
SP - 271
EP - 292
AB - For every module M we have a natural monomorphism  $Φ: ∐_{i ∈ I} Hom _R (A_i,M) → Hom _R (∏_{i ∈I} A_i, M)$ and we focus attention on the case when Φ is also an epimorphism. The corresponding modules M depend on thickness of the cardinal number card(I). Some other limits are also considered.
LA - eng
KW - slender modules; -slim modules; -slender modules; approximation property; pull-backs; -slim homomorphisms; direct products; direct sums
UR - http://eudml.org/doc/212256
ER -

References

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