Zassenhaus rings as idealizations of modules
Manfred Dugas
Source: J. Commut. Algebra Volume 2, Number 2
(2010), 139-158.
First Page:
Show
Hide
Full-text: Access denied (no subscription
detected)
We're sorry, but we are unable to provide
you with the full text of this article because we are not able to identify
you as a subscriber.
If you have a personal subscription to
this journal, then please login. If you are already logged in, then you
may need to update your profile to register your subscription. Read more about accessing full-text
Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.jca/1275403634
Digital Object Identifier: doi:10.1216/JCA-2010-2-2-139
Mathematical Reviews number (MathSciNet): MR2647472
References
D.D. Anderson and M. Winders, Idealization of a module, J. Comm. Algebra. 1 (2009), 3-56.
Mathematical Reviews (MathSciNet): MR2462381
Zentralblatt MATH: 05673523
Digital Object Identifier: doi:10.1216/JCA-2009-1-1-3
J. Buckner and M. Dugas, Quasi-localizations of $\bf Z$, Israel J. Math. 160 (2007), 349-370.
Mathematical Reviews (MathSciNet): MR2342501
Zentralblatt MATH: 1139.20049
Digital Object Identifier: doi:10.1007/s11856-007-0066-y
--------, Left rigid rings, J. Algebra 309 (2007), 192-206.
Mathematical Reviews (MathSciNet): MR2301237
Zentralblatt MATH: 1122.16023
Digital Object Identifier: doi:10.1016/j.jalgebra.2006.10.017
--------, Rings with Zassenhaus families of ideals, Comm. Algebra 36 (2008), 2133-2142.
Mathematical Reviews (MathSciNet): MR2418380
Zentralblatt MATH: 1147.13011
Digital Object Identifier: doi:10.1080/00927870801949641
--------, Group algebras with Zassenhaus families of right ideals, Houston J. Math., to appear.
Mathematical Reviews (MathSciNet): MR2534273
Zentralblatt MATH: 1180.16017
--------, Zassenhaus algebras, Rocky Mountain J. Math., to appear.
M. Dugas, Large $E$-modules exist, J. Algebra 142 (1991), 405-413.
Mathematical Reviews (MathSciNet): MR1127071
Zentralblatt MATH: 0737.20025
Digital Object Identifier: doi:10.1016/0021-8693(91)90315-Y
M. Dugas and R. Göbel, An extension of Zassenhaus' theorem on endomorphism rings, Fund. Math. 194 (2007), 239-251.
Mathematical Reviews (MathSciNet): MR2302004
Zentralblatt MATH: 1122.20026
Digital Object Identifier: doi:10.4064/fm194-3-2
S. Lang, Algebraic number theory, Second edition, Grad. Texts Math., Springer-Verlag, New York, 1994.
Mathematical Reviews (MathSciNet): MR1282723
A. Mader and C. Vinsonhaler, Torsion-free $E$-modules, J. Algebra 115 (1988), 401-411.
Mathematical Reviews (MathSciNet): MR943264
Zentralblatt MATH: 0639.13010
Digital Object Identifier: doi:10.1016/0021-8693(88)90266-9
M. Nagata, Local rings, Interscience Tracts Pure Appl. Math. 13, John Wiley and Sons, New York, 1962.
Mathematical Reviews (MathSciNet): MR155856
Journal of Commutative Algebra
