Almost-flat modules

Simion Breaz

Czechoslovak Mathematical Journal (2003)

  • Volume: 53, Issue: 2, page 479-489
  • ISSN: 0011-4642

Abstract

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We present general properties for almost-flat modules and we prove that a self-small right module is almost flat as a left module over its endomorphism ring if and only if the class of g -static modules is closed under the kernels.

How to cite

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Breaz, Simion. "Almost-flat modules." Czechoslovak Mathematical Journal 53.2 (2003): 479-489. <http://eudml.org/doc/30792>.

@article{Breaz2003,
abstract = {We present general properties for almost-flat modules and we prove that a self-small right module is almost flat as a left module over its endomorphism ring if and only if the class of $g$-static modules is closed under the kernels.},
author = {Breaz, Simion},
journal = {Czechoslovak Mathematical Journal},
keywords = {almost-flat module; self-small module; endomorphism ring; almost flat modules; self-small modules; endomorphism rings},
language = {eng},
number = {2},
pages = {479-489},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Almost-flat modules},
url = {http://eudml.org/doc/30792},
volume = {53},
year = {2003},
}

TY - JOUR
AU - Breaz, Simion
TI - Almost-flat modules
JO - Czechoslovak Mathematical Journal
PY - 2003
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 53
IS - 2
SP - 479
EP - 489
AB - We present general properties for almost-flat modules and we prove that a self-small right module is almost flat as a left module over its endomorphism ring if and only if the class of $g$-static modules is closed under the kernels.
LA - eng
KW - almost-flat module; self-small module; endomorphism ring; almost flat modules; self-small modules; endomorphism rings
UR - http://eudml.org/doc/30792
ER -

References

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  6. 10.1216/RMJ-1981-11-4-611, Rocky Mountain J. Math. 11 (1981), 611–615. (1981) MR0639446DOI10.1216/RMJ-1981-11-4-611
  7. Ring of Quotients. An Introduction to Methods of Ring Theory, Springer-Verlag, Berlin-Heidelberg-New York, 1975. (1975) MR0389953
  8. Homological dimensions of completely decomposable groups, Lecture Notes in Pure and Appl. Math. 146 (1993), 247–258. (1993) MR1217276
  9. Foundations of Module and Ring Theory, Gordon and Breach, Philadelphia, 1986. (1986) MR1144522
  10. Static modules and equivalences, (1998), Preprint. (1998) MR1761573

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