Projective modules over non-commutative semilocal rings
KR Fuller, WA Shutters - Tohoku Mathematical Journal, Second …, 1975 - jstage.jst.go.jp
PROOF. Since RR clearly has acc on direct summands, R contains a primitive idempotent e.
Let T1,…, Tn represent the isomorphism classes of simple left R-modules. Then where …
Let T1,…, Tn represent the isomorphism classes of simple left R-modules. Then where …
Free modules obtained by means of infinite direct products
GD Este - CONTEMPORARY MATHEMATICS, 2000 - books.google.com
We construct some infinite dimensional algebras A admitting a projective module P without
non-zero free summands, such that the direct product of m copies of P is free for any cardinal …
non-zero free summands, such that the direct product of m copies of P is free for any cardinal …
Projective modules, idempotent ideals and intersection theorems
PF Smith - Advances in Ring Theory, 2010 - Springer
We investigate the relationship between projective modules and idempotent ideals for group
rings, polynomial rings and more general rings, giving a survey of known results, proving …
rings, polynomial rings and more general rings, giving a survey of known results, proving …
[图书][B] RINGS WHOSE PROJECTIVE-MODULES HAVE WELL-BEHAVED DECOMPOSITIONS.
WA Shutters - 1974 - search.proquest.com
INFoRMArion ro usɛRs Page 1 INFoRMArion ro usɛRs This material was produced from a
microfilm copy of the original document. While the most advanced technological means to …
microfilm copy of the original document. While the most advanced technological means to …
[引用][C] Struktur projektiver Moduln über semilokalen Ringen
W Brockmann - Archiv der Mathematik, 1977 - Springer
0. Einleitung. Kaplansky zeigte 1958 [7], dab fiber einem nicht notwendig kommutativen
lokalen Ring jeder projektive/~-Modul frei ist. Dieser Satz~ 4rd hier folgendermal~ en …
lokalen Ring jeder projektive/~-Modul frei ist. Dieser Satz~ 4rd hier folgendermal~ en …