REFERENCES
- Armendariz , E. P. ( 1974 ). A note on extensions of Baer and p.p.-rings . J. Austral. Math. Soc. 18 : 470 – 473 .
- Berberian , S. K. ( 1972 ). Baer*-Rings . Berlin–Heidelberg–New York : Springer-Verlag .
- Birkenmeier , G. F. , Kim , J. Y. , Park , J. K. ( 2003 ). Prime ideals of principally quasi-Baer rings . Acta Math. Hungar. 98 ( 3 ): 217 – 225 .
- Birkenmeier , G. F. , Kim , J. Y. , Park , J. K. (2002). Triangular matrix representations of semiprimary rings. J. Algebra Appl. 1(2):123–131.
- Birkenmeier , G. F. , Kim , J. Y. , Rizvi , S. T. ( 2002 ). Generalized triangular matrix rings and the fully invariant extending property . Roky Mountain J. Math. 32 ( 4 ): 1299 – 1319 .
- 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. ( 2000 ). Quasi-Baer ring extensions and biregular rings . Bull. Austral. Math. Soc. 61 : 39 – 52 .
- Birkenmeier , G. F. , Kim , J. Y. , Park , J. K. ( 2000 ). On quasi-Baer rings . Contemp. Math. 259 : 67 – 92 .
- Birkenmeier , G. F. , Kim , J. Y. , Park , J. K. ( 2000 ). A sheaf representation of quasi-Baer rings . J. Pure Appl. Algebra 146 ( 3 ): 209 – 223 .
- Birkenmeier , G. F. , Kim , J. Y. , Park , J. K. ( 1998 ). A characterization of minimal prime ideals . Glasgow Math. J. 40 ( 2 ): 223 – 236 .
- Birkenmeier , G. F. ( 1992 ). Decompositions of Baer-like rings . Acta Math. Hungar. 59 : 319 – 326 .
- Chase , S. U. ( 1961 ). A generalization of triangular matrices . Nagoya Math. J. 18 : 13 – 25 .
- Clark , W. E. ( 1967 ). Twisted matrix units semigroup algebras . Duke Math. J. 34 : 417 – 424 .
- Endo , S. ( 1960 ). Note on p.p.-rings . Nagoya Math. J. 17 : 167 – 170 .
- Facchini , A. , Herbera , D. , Sakhajev , I. ( 2003 ). Finitely generated flat modules and a characterization of semiperfect rings . Comm. Algebra 31 : 4195 – 4214 .
- Goodearl , K. R. ( 1991 ). Von Neumann Regular Rings . Krieger : Malabar .
- Hirano , Y. ( 2001 ). On ordered monoid rings over a quasi-Baer ring . Comm. Algebra 29 ( 5 ): 2089 – 2095 .
- Huh , C. , Kim , H. K. , Lee , Y. ( 2002 ). p.p.-rings and generalized p.p. rings . J. Pure Appl. Algebra 167 : 37 – 52 .
- Kaplansky , I. ( 1965 ). Rings of Operators . New York : Benjamin .
- Kist , J. ( 1963 ). Minimal prime ideals in commutative semigroups . Proc. London Math. Soc. 13 : 31 – 50 .
- Lam , T. Y. ( 1999 ). Lectures on Modules and Rings . Graduate Texts in Mathematics , Vol. 89 . New York : Springer .
- Lam , T. Y. ( 1991 ). A First Course in Noncommutative Rings . Graduate Texts in Math. , Vol. 131 . Berlin–Heidelberg–New York : Springer-Verlag .
- Liu , Z. , Qiao , H. ( 2008 ). Extensions of left APP-rings . Arab. J. Sci. Eng. Sect. A Sci. 33 ( 2 ): 305 – 312 .
- Liu , Z. , Zhao , R. ( 2006 ). A generalization of PP-rings and p.q.-Baer rings . Glasg. Math. J. 48 ( 2 ): 217 – 229 .
- Majidinya , A. , Moussavi , A. , Paykan , K. On centrally APP rings. preprint.
- McCoy , N. H. ( 1973 ). The Theory of Rings . New York : Chelsea .
- Mewborn , A. C. ( 1971 ). Regular rings and Baer rings . Math. Z. 121 : 211 – 219 .
- Moussavi , A. , Haj Seyyed Javadi , H. , Hashemi , E. ( 2005 ). Generalized quasi-Baer rings . Comm. Algebra 33 ( 7 ): 2115 – 2129 .
- Nasr-Isfahani , A. R. , Moussavi , A. ( 2008 ). On Ore extensions of quasi-Baer rings . J. Algebra Appl. 7 ( 2 ): 211 – 224 .
- Ôhori , M. ( 1984 ). On noncommutative generalized p.p.rings . Math. J. Okayama Univ. 26 : 157 – 167 .
- Pollingher , A. , Zaks , A. ( 1970 ). On Baer and quasi-Baer rings . Duke Math. J. 37 : 127 – 138 .
- Rickart , C. E. ( 1946 ). Banach algebras with an adjoint operation . Ann. Math. 47 : 528 – 550 .
- Rizvi , S. T. , Roman , C. S. (2009). On direct sums of Baer modules. J. Algebra 321:682–696.
- Small , L. W. ( 1967 ). Semihereditary rings . Bull. Amer. Math. Soc. 73 : 656 – 658 .
- Stenstrom , B. ( 1975 ). Rings of Quotients . Berlin : Springer-Verlag .
- Tominaga , H. ( 1976 ). On s-unital rings . Math. J. Okayama Univ. 18 ( 2 ): 117 – 134 .
- Communicated by V. A. Artamonov.