Anneaux quasi-frobéniusiens

Jacques Grappy

Séminaire Dubreil. Algèbre et théorie des nombres (1967-1968)

  • Volume: 21, Issue: 2, page 1-11

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Grappy, Jacques. "Anneaux quasi-frobéniusiens." Séminaire Dubreil. Algèbre et théorie des nombres 21.2 (1967-1968): 1-11. <http://eudml.org/doc/111358>.

@article{Grappy1967-1968,
author = {Grappy, Jacques},
journal = {Séminaire Dubreil. Algèbre et théorie des nombres},
keywords = {associative rings},
language = {fre},
number = {2},
pages = {1-11},
publisher = {Secrétariat mathématique},
title = {Anneaux quasi-frobéniusiens},
url = {http://eudml.org/doc/111358},
volume = {21},
year = {1967-1968},
}

TY - JOUR
AU - Grappy, Jacques
TI - Anneaux quasi-frobéniusiens
JO - Séminaire Dubreil. Algèbre et théorie des nombres
PY - 1967-1968
PB - Secrétariat mathématique
VL - 21
IS - 2
SP - 1
EP - 11
LA - fre
KW - associative rings
UR - http://eudml.org/doc/111358
ER -

References

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  1. [1] Chase ( Stephen U.). - Direct products of modules, Trans. Amer. math. Soc., t. 97, 1960, p. 457-473. Zbl0100.26602MR120260
  2. [2] Curtis ( Charles W.) and Reiner ( Irving). - Representation theory of finite groups and associative algebras. - New York, Interscience Publishers, 1962 (Pure and applied Mathematics, 11). Zbl0131.25601MR144979
  3. [3] Dieudonné ( Jean). - Remarks on quasi-frobenius rings, Illinois J. of Math., t. 2, 1958, p. 346-354. Zbl0101.02701MR97427
  4. [4] Eilenberg ( Samuel) and Nakayama ( Tadasi). - On the dimension of modules and algebras, II, Nagoya math. J., t. 9, 1955, p. 1-16. Zbl0068.26503MR73577
  5. [5] Faith ( Carl). - Rings with ascending condition on annihilators, Nagoya math. J., t. 27, 1966, p. 179-191. Zbl0154.03001MR193107
  6. [6] Faith ( Carl) and Walker ( Elbert A.). - Direct-sum of injective modules, J. of algebra, t. 5, 1967, p. 203-221. Zbl0173.03203MR207760
  7. [7] Goldie ( A.W.). - Semi-prime rings with maximum condition, Proc. London math. Soc., Series 3, t. 10, 1960, p. 201-220. Zbl0091.03304MR111766
  8. [8] Ikeda ( Masatosi). - A characterization of quasi-frobenius rings, Osaka math. J., t. 4, 1952, p. 203-209. Zbl0048.02501MR53085
  9. [9] Ikeda ( Masatosi) and Nakayama ( Tadasi). - On some characteristic properties of quasi-frobenius and regular rings, Proc. Amer. math. Soc., t. 5, 1954, p. 15-19. Zbl0055.02602MR60489
  10. [10] Kaplansky ( I.) and Cohen ( I.S.). - Rings for which every module is a direct sum of cyclic modules, Math. Z., t. 54, 1951, p. 97-101. Zbl0043.26702MR43073
  11. [11] Matlis ( Eben). - Injective modules over noetherian rings, Pacific J. of Math., t. 8, 1958, p. 511-528. Zbl0084.26601MR99360
  12. [12] Morita ( Kiiti). - Duality for modules and its applications to the theory of rings with minimum conditions, Sc. Rep. Tokyo Kyoiku Daigaku, Section A, t. 6, 1958, p. 83-142. Zbl0080.25702MR96700
  13. [13] Morita ( Kiiti) and Tachikawa ( Kiroyuki). - Character modules, submodules of a free module, and quasi-frobenius rings, Math. Z., t. 65, 1956, p. 414-428. Zbl0075.24301MR95198
  14. [14] Nakayama ( Tadasi). - On frobeniusean algebras, Ann. of Math., 2nd series, t. 40, 1939, p. 611-633 ; t. 42, 1941, p. 1-21. Zbl0021.29402
  15. [15] Papp ( Zoltan). - On algebraically closed modules, Publ. Math., Debrecen, t. 6, 1959, p. 311-327. Zbl0090.02405MR121390
  16. [16] Rosenberg ( Alex) and Zelinsky ( Daniel). - Annihilators, Portug. Math., t. 20, 1961, p. 53-65. Zbl0123.03103MR131446

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