Generalized triangular matrix rings and the fully invariant extending property

Rocky Mountain Journal of Mathematics

Volumn 32, Issue 4, 2002, Pages 1299-1319

  Birkenmeier, Gary F ^a   Park, Jae Keol ^b   Rizvi, S Tariq ^c  

^a UNIVERSITY OF LOUISIANA AT LAFAYETTE   (United States)

^b Pusan National University   (South Korea)

^c OHIO STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0038246474     PISSN: 00357596     EISSN: None     Source Type: Journal    
DOI: 10.1216/rmjm/1181070024     Document Type: Article

References (13)

1. G.F. Birkenmeier, G. Calugareanu, L. Fuchs and H.P. Goeters, The fully-invariant-extending property for abelian groups, Comm. Algebra 29 (2001), 673-685.
2. G.F. Birkenmeier, H.E. Heatherly, J.Y. Kim and J.K. Park, Triangular matrix representations, J. Algebra 230 (2000), 558-595.
3. G.F. Birkenmeier, J.Y. Kim and J.K. Park, Semicentral reduced algebras, International Symposium on Ring Theory (G.F. Birkenmeier, J.K. Park and Y.S. Park, eds.), Birkhauser, Boston, 2001, pp. 67-84.
4. G.F. Birkenmeier, B.J. Muller and S.T. Rizvi, Modules in which every fully invariant submodule is essential in a direct summand, Comm. Algebra, 30 (2002), 1395-1415.
5. G.F. Birkenmeier, J.K. Park and S.T. Rizvi, Modules with fully invariant submodules essential in fully invariant summands, Comm. Algebra, 30 (2002), 1833-1852.
6. A.W. Chatters and S.M. Khuri, Endomorphism rings of modules over nonsingular CS rings, J. London Math. Soc. 21 (1980), 434-444.
7. C. Faith and S. Page, FPF ring theory: Faithful modules and generators of Mod-R, London Math. Soc. Lecture Note Series 88, Cambridge Univ. Press, Cambridge, 1984.
8. A. Haghany and K. Varadarajan, Study of formal triangular matrix rings, Comm. Algebra 27 (1999), 5507-5525.
9. A. Haghany and K. Varadarajan, Study of modules over a formal triangular matrix rings, J. Pure Appl. Algebra 147 (2000), 41-58.
10. I.N. Herstein, A counterexample in Noetherian rings, Proc. Nat. Acad. Sci. U.S.A. 54 (1965), 1036-1037.
11. T.Y. Lam, Lectures on modules and rings, Springer-Verlag, New York, 1999.
12. A. Pollingher and A. Zaks, On Baer and quasi-Baer rings, Duke Math. J. 37 (1970), 127-138.
13. A. Tercan, On certain CS-rings, Comm. Algebra 23 (1995), 405-419.