125
Views
15
CrossRef citations to date
0
Altmetric
Original Articles

Generalized Quasi-Baer Rings

, &
Pages 2115-2129 | Received 15 Nov 2003, Published online: 03 Sep 2006

REFERENCES

  • Armendariz , E. P. ( 1974 ). A note on extensions of Baer and p.p.-rings . J. Austral. Math. Soc. 18 : 470 – 473 .
  • Bell , H. E. ( 1973 ). Near-Rings in which each element is a power of itself . Bull. Australian Math. Soc. 2 : 363 – 368 .
  • Berberian , S. K. ( 1972 ). Baer *-Rings . Grundlehren Math. Wiss. Band 195 . Vol. 296 , Berlin : Springer .
  • Birkenmeier , G. F. ( 1983 ). Idempotents and completely semiprime ideals . Comm. Algebra 11 : 567 – 580 .
  • Birkenmeier , G. F. ( 1992 ). Decompositions of Baer-like rings . Acta Math. Hungar. 59 : 319 – 326 . [CROSSREF]
  • Birkenmeier , G. F. , Kim , J. Y. , Park , J. K. ( 2000a ). A sheaf representation of quasi-Baer rings . J. Pure Appl. Algebra 146 : 209 – 223 . [CROSSREF]
  • Birkenmeier , G. F. , Kim , J. Y. , Park , J. K. ( 2000b ). Quasi-Baer ring extensions and biregular rings . Bull. Austral. Math. Soc. 61 : 39 – 52 .
  • Birkenmeier , G. F. , Kim , J. Y. , Park , J. K. ( 2000c ). On quasi-Baer rings . Contemporary Mathematics 259 : 67 – 92 .
  • Birkenmeier , G. F. , Kim , J. Y. , Park , J. K. ( 2001 ). Principally quasi-Baer rings . Comm. Algebra 29 ( 2 ): 639 – 660 . [CROSSREF]
  • Birkenmeier , G. F. , Park , J. K. , Rizvi , S. T. ( 2002 ). Generalized triangular matrix rings and the fully invariant extending property . Rocky Mt. J. Math. 32 ( 4 ): 1299 – 1319 .
  • Chase , S. U. ( 1961 ). Generalization of triangular matrices . Nagoya Math. J. 18 : 13 – 25 .
  • Chatters , A. W. , Hajarnavis , C. R. ( 1980 ). Rings with Chain Conditions . Boston : Pitman .
  • Chatters , A. W. , Xue , W. ( 1990 ). On right duo p.p. rings . Glasgow Math. J. 32 : 221 – 225 .
  • Clark , W. E. ( 1967 ). Twisted matrix units semigroup algebras . Duke Math. J. 34 : 417 – 424 . [CROSSREF]
  • Dauns , J. , Hofmann , K. H. ( 1968 ). Representation of rings by sections . Mem. Amer. Math. Math. Sci. 15 : 351 – 354 .
  • Endo , S. ( 1960 ). Note on p.p. rings . Nagoya Math. J. 17 : 167 – 170 .
  • Goodearl , K. R. ( 1991 ). Von Neumann Regular Rings . Krieger : Malabar .
  • Goodearl , K. R. , Warfield , R. B. ( 1989 ). An Introduction to Noncommutative Noetherian Rings . Cambridge : Cambridge University Press .
  • Hashemi , E. , Moussavi , A. ( 2004 ). Skew power series of α-rigid p.p. -rings . Bull. Korean Math. 4 : 657 – 664 .
  • Hirano , Y. ( 2001 ). On ordered monoid rings over a quasi-Baer ring . Comm. Algebra 29 ( 5 ): 2089 – 2095 . [CROSSREF]
  • Hirano , Y. ( 2001 ). On annihilator ideals of a polynomial ring over a noncommutative ring . J. Pure Appl. Algebra 168 : 45 – 52 . [CROSSREF]
  • Hofmann , K. H. ( 1972 ). Representations of algebras by continuous sections . Bull. Amer. Math. Soc. 78 : 291 – 373 .
  • Hong , C. Y. , Kim , N. K. , Kwak , T. K. ( 2000 ). Ore extensions of Baer and p.p. -rings . J. Pure Appl. Algebra 151 : 215 – 226 . [CROSSREF]
  • Huh , C. , Kim , H. K. , Lee , Y. ( 2002a ). p.p. rings and generalized p.p.rings . J. Pure Appl. Algebra . 167 : 37 – 52 . [CROSSREF]
  • Huh , C. , Lee , Y. , Smoktunowicz , A. ( 2002b ). Armendariz rings and semicommutative rings . Comm. Algebra 30 ( 2 ): 751 – 761 . [CROSSREF]
  • Kaplansky , I. (1965). Rings of Operators . New York : Benjamin.
  • Kim , N. H. , Lee , Y. ( 2000 ). Armendariz rings and reduced rings . J. Algebra 223 : 477 – 488 . [CROSSREF]
  • Lam , T. Y. ( 2001 ). A First Course in Noncommutative Rings . Berlin-Heidelberg-New York : Springer-Verlag .
  • Lambek , J. ( 1971 ). On the representations of modules by sheaves of factor modules . Canad. Math. Bull. 14 : 359 – 368 .
  • Mewborn , A. C. ( 1971 ). Regular rings and Baer rings . Math. Z. 121 : 211 – 219 . [CROSSREF]
  • Moussavi , A. , Hashemi , E. , Javadi , H. S. ( 2003 ). Polynomial ore extensions of Baer and p.p.-rings . Bull. Iranian. Soc.
  • Pierce , R. S. ( 1967 ). Modules over commutative regular rings . Mem. Amer. Math. Soc. 70 .
  • Pollingher , P. , Zaks , A. ( 1970 ). On Baer and quasi-Baer rings . Duke Math. J. 37 : 127 – 138 . [CROSSREF]
  • Rege , M. B. , Chhawchharia , S. ( 1997 ). Armendariz rings . Proc. Japan Acad. Ser. A Math. Sci. 73 : 14 – 17 .
  • Rickart , C. E. ( 1946 ). Banach algebras with an adjoint operation . Ann. of Math. 47 : 528 – 550 .
  • Shin , G. ( 1973 ). Prime ideals and sheaf representtion of a pseudo symmetric ring . Trans. Amer. Math. Soc. 184 : 43 – 61 .
  • Small , L. W. ( 1967 ). Semihereditary rings . Bull. Amer. Math. Soc. 73 : 656 – 658 .
  • Stenström , B. ( 1975 ). Rings of Quotients . Berlin : Springer .
  • #Communicated by M. Ferrero.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.