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Original Articles

Principally Quasi-Baer Skew Power Series Modules

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Pages 1278-1291 | Received 07 Nov 2010, Published online: 02 Apr 2013

REFERENCES

  • Annin , S. ( 2002 ). Associated and Attached Primes over Noncommutative Rings. Ph.D. dissertation, University of California at Berkeley .
  • Başer , M. , Harmanci , A. ( 2007 ). Reduced and p.q.-baer modules . Taiwan. J. Math. 11 ( 1 ): 267 – 275 .
  • Berberian , S. K. ( 1972 ). Baer *-Rings . Berlin-Heidelberg-New York : Springer-Verlag .
  • Birkenmeier , G. F. ( 1983 ). Idempotents and completely semiprime ideals . Comm. Algebra 11 : 567 – 580 .
  • Birkenmeier , G. F. , Kim , J. Y. , Park , J. K. ( 2000 ). On polynomial extensions of principally quasi-Baer rings . Kyungpook Math. J. 40 : 243 – 253 .
  • Birkenmeier , G. F. , Kim , J. Y. , Park , J. K. ( 2001 ). Principally quasi-baer rings . Comm. Algebra 29 ( 2 ): 639 – 660 .
  • Birkenmeier , G. F. , Kim , J. Y. , Park , J. K. ( 2001 ). Polynomial extensions of Baer and quasi-Baer rings . J. Pure Appl. Algebra 159 : 24 – 42 .
  • Clark , W. E. ( 1967 ). Twisted matrix units semigroup algebras . Duke Math. J. 34 : 417 – 424 .
  • Fraser , J. A. , Nicholson , W. K. ( 989 ). Reduced PP-rings . Math. Japonica 34 ( 5 ): 715 – 725 .
  • Habibi , M. , Moussavi , A. , Manaviyat , R. On skew quasi-Baer rings. Comm. Algebra to appear.
  • Hashemi , E. ( 2008 ). A note on p.q.-Baer modules . New York J. Math. 14 : 403 – 410 .
  • Hashemi , E. , Moussavi , A. ( 2004 ). Skew power series extensions of α-rigid PP rings . Bull. Korean Math. Soc. 41 ( 4 ): 657 – 664 .
  • Hashemi , E. , Moussavi , A. ( 2005 ). Polynomial extensions of quasi-Baer rings . Acta Math. Hungar. 107 ( 3 ): 207 – 224 .
  • Hashemi , E. , Moussavi , A. , Nasr-Isfahani , A. R. ( 2008 ). Skew power series extensions of principally quasi-Baer rings . Stud. Scie. Math. Hungar. 45 ( 4 ): 469 – 481 .
  • Huang , F. K. ( 2008 ). A note on extensions of principally quasi-Baer rings . Taiwan. J. Math. 45 ( 4 ): 469 – 481 .
  • Kaplansky , I. ( 1951 ). Projections in Banach algebras . Ann. Math. 53 ( 2 ): 235 – 249 .
  • Kaplansky , I. ( 1965 ). Rings of Operators . New York : Benjamin .
  • Krempa , J. ( 1996 ). Some examples of reduced rings . Algebra Colloq. 3 ( 4 ): 289 – 300 .
  • Lee , T. K. , Zhou , Y. (2004). Reduced Modules. Rings, Modules, Algebras, and Abelian Groups . Lecture Notes in Pure and Appl. Math. Vol. 236 , New York : Marcel Dekker, pp. 365–377.
  • Liu , Z. ( 2002 ). A note on principally quasi-Baer rings . Comm. Algebra 30 ( 8 ): 3885 – 3890 .
  • Manaviyat , R. , Moussavi , A. , Habibi , M. ( 2010 ). Principally quasi-Baer skew power series rings . Comm. Algebra 38 : 2164 – 2176 .
  • McKerrow , A. S. ( 1974 ). On the injective dimension of modules of power series . Quart J. Math. Oxford Ser. 25 ( 2 ): 359 – 368 .
  • Moussavi , A. , Javadi , H. H. S. , Hashemi , E. ( 2005 ). Generalized quasi-Baer rings . Comm. Algebra 33 : 2115 – 2129 .
  • Nasr-Isfahani , A. R. , Moussavi , A. ( 2008 ). On Ore extensions of quasi-Baer rings . J. Algebra Appl. 7 ( 2 ): 1 – 14 .
  • Rickart , C. E. ( 1946 ). Banach algebras with an adjoint operation . Ann. Math. 47 : 528 – 550 .
  • Rizvi , S. T. , Roman , C. S. ( 2004 ). Baer and quasi Baer modules . Comm. Algebra 32 ( 1 ): 103 – 123 .
  • Rizvi , S. T. , Roman , C. S. ( 2005 ). Baer property of modules and applications . Adv. Ring Theor. 225 – 241 .
  • Rizvi , S. T. , Roman , C. S. ( 2007 ). On K-nonsingular modules and applications . Comm. Algebra 35 ( 9 ): 2960 – 2982 .
  • Rizvi , S. T. , Roman , C. S. ( 2009 ). On direct sums of Baer modules . J. Algebra 321 : 682 – 696 .
  • Roman , C. S. ( 2004 ). Baer and quasi-Baer modules. Ph.D. dissertation, The Ohio State University .
  • Tuganbaev , A. A. ( 2002 ). Rings Close to Regular . Kluwer Academic Publishers .
  • Tuganbaev , A. A. ( 2000 ). Some Ring and Module Properties of Skew Power Series . Formal power series and algebraic combinatorics (Moscow). Berlin : Springer, pp. 602–612 .
  • Tuganbaev , A. A. ( 2002 ). Some Ring and Module Properties of Skew Laurent Series . Formal power series and algebraic combinatorics (Moscow). Berlin : Springer, pp. 613–622 .
  • Communicated by E. Puczylowski.

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