Generalized n -coherence

Josef Jirásko

Commentationes Mathematicae Universitatis Carolinae (2000)

  • Volume: 41, Issue: 1, page 1-7
  • ISSN: 0010-2628

Abstract

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In this paper necessary and sufficient conditions for large subdirect products of n -flat modules from the category G e n ( Q ) to be n -flat are given.

How to cite

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Jirásko, Josef. "Generalized $n$-coherence." Commentationes Mathematicae Universitatis Carolinae 41.1 (2000): 1-7. <http://eudml.org/doc/248595>.

@article{Jirásko2000,
abstract = {In this paper necessary and sufficient conditions for large subdirect products of $n$-flat modules from the category $Gen(Q)$ to be $n$-flat are given.},
author = {Jirásko, Josef},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {relative finiteness conditions; relative coherence; large subdirect products of $n$-flat modules; relative finiteness conditions; relative coherence; large subdirect products of flat modules},
language = {eng},
number = {1},
pages = {1-7},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Generalized $n$-coherence},
url = {http://eudml.org/doc/248595},
volume = {41},
year = {2000},
}

TY - JOUR
AU - Jirásko, Josef
TI - Generalized $n$-coherence
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 2000
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 41
IS - 1
SP - 1
EP - 7
AB - In this paper necessary and sufficient conditions for large subdirect products of $n$-flat modules from the category $Gen(Q)$ to be $n$-flat are given.
LA - eng
KW - relative finiteness conditions; relative coherence; large subdirect products of $n$-flat modules; relative finiteness conditions; relative coherence; large subdirect products of flat modules
UR - http://eudml.org/doc/248595
ER -

References

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  2. Chase S.U., Direct products of modules, Trans. Amer. Math. Soc. 97 (1960), 457-473. (1960) MR0120260
  3. Jianlong Chen, Nanqing Ding, On n -coherent rings, Comm. Algebra 24 (10) (1996), 3211-3216. (1996) MR1402554
  4. Colby R.R., Rutter E.A., Jr., ∏ -flat and ∏ -projective modules, Arch. Math. 22 (1971), 246-251. (1971) MR0292881
  5. Jirásko J., Large subdirect products of relative flat modules, Conf. Abelian Groups and Modules, Padova, 1994. 
  6. Jirásková H., Generalized flatness and coherence, Comment. Math. Univ. Carolinae 21 (1980), 293-308. (1980) MR0580684
  7. Jones M.F., Coherence relative to a hereditary torsion theory, Comm. Algebra 10 (1982), 719-739. (1982) MR0650869
  8. Lenzig H., Endlich präsentierbare Moduln, Arch. Math. 20 (1969), 262-266. (1969) MR0244322
  9. Loustaunau P., ℱ -products of injective, flat and projective modules, Comm. Algebra 18 (1990), 3671-3683. (1990) Zbl0727.16002MR1068613
  10. Loustaunau P., Large subdirect products of projective modules, Comm. Algebra 17 (1989), 197-215. (1989) Zbl0664.16019MR0970872
  11. Oyonarte L., Torrecillas B., Large subdirect products of flat modules, Comm. Algebra 24 (4) (1996), 1389-1407. (1996) Zbl0845.16003MR1380601
  12. Oyonarte L., Torrecillas B., Large subdirect products of graded modules, Comm. Algebra 27 (2) (1999), 681-701. (1999) Zbl0923.16035MR1671963

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