RINGS OF DEFINABLE SCALARS OF VERMA MODULES
2007 ◽
Vol 06
(05)
◽
pp. 779-787
◽
Keyword(s):
Let M be a Verma module over the Lie algebra, sl 2(k), of trace zero 2 × 2 matrices over the algebraically closed field k. We show that the ring, RM, of definable scalars of M is a von Neumann regular ring and that the canonical map from U( sl 2(k)) to RM is an epimorphism of rings. We also describe the Ziegler closure of M. The proofs make use of ideas from the model theory of modules.
2011 ◽
Vol 21
(05)
◽
pp. 745-762
◽
Keyword(s):
1974 ◽
Vol 17
(2)
◽
pp. 283-284
◽
Keyword(s):
1972 ◽
Vol 32
(2)
◽
pp. 425-425
2010 ◽
Vol 52
(A)
◽
pp. 103-110
◽
2006 ◽
Vol 2006
◽
pp. 1-6
Keyword(s):
2005 ◽
Vol 79
(3)
◽
pp. 297-304