42
Views
1
CrossRef citations to date
0
Altmetric
Original Articles

The general radical theory of incidence algebras

Pages 3659-3673 | Received 01 Mar 1998, Published online: 27 Jun 2007

References

  • De La Rosa , J. and Heyman , G.A.P. 1984 . A note on radicals and the dorroh extension . Arehiv. Math , 42 : 516
  • Divinsky , N.J. 1965 . Rings and radicals , Toronto : University of toronto press .
  • Doubilet , P. and Rota , G.C. On the foundations of combinational theory (vi): the idea of a generating function . Proc. Siorth berkeley symp. On math. Stat and probability . Vol. II , pp. 267 – 318 . University of california press .
  • Farkas , R. 1974 . Radicals and primes in incidence algebras . Discrete math , 10 : 257 – 268 .
  • Gardner , B.J. 1973 . Radicals of abelian groups and associative rings . Ada. Math. Acad. Set. Hungar , 24 : 259 – 268 .
  • Gardner , B.J. 1989 . “ Radical theory ” . In Pitman research notes in mathematics Vol. 198 , Longman
  • Leroux , P. and Sarraillè , J. 1981 . Structure of incidence algebras of graphs . Comm. Algebra , 9 : 1479 – 1517 .
  • O'Donnell , C.J. 1996 . Maximal and minimal prime ideals of incidence algebras . Comm. Algebra , 24 : 1823 – 1840 .
  • Rota , G.C. 1964 . On the foundations of combinational theory. I: theory of mobius functions . Z Wahrscheinlichkeitstheorie und verw. Gebiete , 2 : 340 – 368 .
  • Sands , A.D. 1990 . Radicals of structural matrix rings . Quaest. Math , 13 : 77 – 81 .
  • Schmerl , J.H. and Spiegel , E. 1991 . Prime ideals in incidence algebras . comm. Algebra , 19 : 3011 – 3040 .
  • Spiegel , E. 1994 . Radicals of incidence algebras . Comm. Algebra , 22 : 139 – 149 .
  • Szász , F.A. 1981 . Radicals of rings , Budapest : Akademiai kiado .
  • Van Wyk , I. 1988 . Special radicals in structural matrix rings . Comm. Algebra , 16 : 421 – 435 .
  • Veldsman , S. 1996 . On the radicals of structural matrix rings . Monats. Math , 122 : 227 – 238 .
  • Voss , E.R. 1980 . On the isomorphism problem for incidence rings . Illinois j. Math , 24 : 624 – 638 .
  • Wiegandt , R. 1974 . Radical and semisimple classes of rings , Ontario : Queen’s university. Kingston .

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.