This is a preview of subscription content, access via your institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
Armendariz, E. P. and J. W. Fisher, “Regular P. I.-rings,” Proc. Amer. math. Soc. 39 (1973), 247–251.
Berberian, S. K., Baer *-Rings, Springer-Verlag, Berlin, 1972.
Burgess, W. D. and W. Stephenson, “Pierce sheaves and rings generated by their units,” (to appear).
Burgess, W. D. and W. Stephenson, “Pierce sheaves of non-commutative rings,” (to appear).
Ehrlich, G., “Units and one-sided units in regular rings,” (to appear).
Farkas, D. R. and R. L. Snider, “On group algebras whose simple modules are injective,” Trans. Amer. Math. Soc. 194 (1974), 241–248.
Fisher, J. W., “Von Neumann regular rings versus V-rings, Proc. of University of Oklahoma ring theory symposium, Marcel Dekker, Inc., 101–119.
Fisher, J. W. and R. L. Snider, “Prime von Neumann regular rings and primitive group algebras,” Proc. Amer. Math. Soc. 44 (1974), 244–250.
-, “On the von Neumann regularity of rings with regular prime factor rings,” Pacific J. Math. 53 (1974), 138–147.
Fisher, J. W. and R. L. Snider, “Rings generated by their units,” (to appear).
Goodearl, K. R., “Prime ideals in regular self-injective rings,” Canad. J. Math. 25 (1973), 829–839.
-, “Prime ideals in regular self-injective rings, II” J. Pure and Appl. Alg., 3 (1973), 357–373.
Goodearl, K. R., and A. K. Boyle, “Dimension theory for non-singular injective modules,” (to appear).
Goodearl, K. R., and D. Handelman, “Simple self-injective rings,” (to appear).
Hafner, I., “The regular ring and the maximal ring of quotients of a finite Baer *-ring,” Mich. Math. J., 21 (1974), 153–160.
Halperin, I., Introduction to von Neumann algebras and continuous geometry, Canad. Math. Bull. 3 (1960), 273–288.
Handelman, D., “Simple regular rings with a unique rank function,” (to appear).
Handelman, D., “Perspectivity and cancellation in regular rings,” (to appear).
Henriksen, M., “On a class of regular rings that are elementary divisor rings,” Arch. Math., 34 (1973), 133–141.
-, “Two classes of rings generated by their units,” J. Algebra, 31 (1974), 182–193.
Kaplansky, I., Rings of Operators, New York: Benjamin 1968.
-, Algebraic and analytic aspects of operator algebras. CBMS Regional conference Series in Mathematics, No. 1. Providence, R. I., Amer. Math. Soc. 1970.
Losey, G., “Are one-sided inverses two-sided inverses in a matrix ring over a group ring?,” Canad. M. Bull., 13 (1970), 475–479.
Maeda, F., Kontinuierliche Geometrien. Berlin-Gottingen-Heidelberg: Springer 1958.
Michler, G. and O. Villamayor, “On rings whose simple modules are injective,” J. Algebra 25 (1973), 185–201.
Pyle, E. S., “The regular ring and the maximal ring of quotients of finite Baer *-rings,” Trans. Amer. Math. Soc., 203 (1975), 201–214.
Renault, G., “Anneaux régulier auto-injectifs à droite,” Bull. Soc. Math. France, 101 (1973), 237–254.
Roos, J.-E., “Sur l'anneau maximal de tractions des AW*-algèbres et des anneaux de Baer,” C. R. Acad. Sci. Paris 266 (1968), 120–123.
Shepherdson, J. C., “Inverse and zero divisors in matrix rings,” Proc. Lond. Math. Soc. (3) 1 (1951), 71–85.
Skornyakov, L. A., Complemented modular lattices and regular rings. Edinburgh: Oliver and Boyd, 1964.
Stephenson, W., “Rings which are generated by their nilpotents, itempotents, or units,” (to appear.
Von Neumann, J., Continuous Geometry, Princeton, (1960) Princeton University Press.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1976 Springer-Verlag
About this paper
Cite this paper
Fisher, J.W. (1976). Problem session on regular rings. In: Cozzens, J.H., Sandomierski, F.L. (eds) Noncommutative Ring Theory. Lecture Notes in Mathematics, vol 545. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0080312
Download citation
DOI: https://doi.org/10.1007/BFb0080312
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-07985-9
Online ISBN: 978-3-540-37983-6
eBook Packages: Springer Book Archive
