Differentially trivial left Noetherian rings

O. D. Artemovych

Commentationes Mathematicae Universitatis Carolinae (1999)

  • Volume: 40, Issue: 2, page 201-208
  • ISSN: 0010-2628

Abstract

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We characterize left Noetherian rings which have only trivial derivations.

How to cite

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Artemovych, O. D.. "Differentially trivial left Noetherian rings." Commentationes Mathematicae Universitatis Carolinae 40.2 (1999): 201-208. <http://eudml.org/doc/248394>.

@article{Artemovych1999,
abstract = {We characterize left Noetherian rings which have only trivial derivations.},
author = {Artemovych, O. D.},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {differentially trivial ring; Noetherian ring; differentially trivial rings; Noetherian rings; derivations; Noetherian domains; subdirect products; direct sums},
language = {eng},
number = {2},
pages = {201-208},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Differentially trivial left Noetherian rings},
url = {http://eudml.org/doc/248394},
volume = {40},
year = {1999},
}

TY - JOUR
AU - Artemovych, O. D.
TI - Differentially trivial left Noetherian rings
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1999
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 40
IS - 2
SP - 201
EP - 208
AB - We characterize left Noetherian rings which have only trivial derivations.
LA - eng
KW - differentially trivial ring; Noetherian ring; differentially trivial rings; Noetherian rings; derivations; Noetherian domains; subdirect products; direct sums
UR - http://eudml.org/doc/248394
ER -

References

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  1. Komarnytskyi M.Ya., Artemovych O.D., On the ideally differential rings (in Ukrainian), Herald of Lviv University (1983), 21 35-40. (1983) MR1030517
  2. Artemovych O.D., Ideally differential and perfect rigid rings (in Ukrainian), DAN UkrSSR (1985), 4 3-5. (1985) MR0796364
  3. Nowicki A., Differential rings in which any ideal is differential, Acta Universitatis Carolinae (1985), 26 3 43-49. (1985) Zbl0596.13011MR0830268
  4. McConnel J.C., Robson J.C., Noncommutative Noetherian Rings, Chictester e.a.: J.Wiley and Sons (1987). (1987) MR0934572
  5. Bourbaki N., Algebre commutative, Hermann, Paris (1961). (1961) Zbl0119.03603
  6. Artemovych O.D., Differentially trivial and rigid rings of finite rank, preprint. Zbl0931.16018MR1684503
  7. Zariski O., Samuel P., Commutative Algebra, I D. van Nostrand C., Princeton (1960). (1960) Zbl0121.27801MR0120249
  8. Atiyah M.F., Macdonald I.G., Introduction to Commutative Algebra, Addison-Wesley P.C., Reading (1969). (1969) Zbl0175.03601MR0242802
  9. Lambek J., Lectures on Rings and Modules, Blaisdell Publ. Com., Waltham, Toronto, London (1966). (1966) Zbl0143.26403MR0206032

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