[PDF][PDF] Endomorphism rings of torsionless modules
JM Zelmanowitz - Journal of Algebra, 1967 - researchgate.net
… finite-dimensional torsionless R-module, then E = Hom,(M, M) h as a semisimple (simple)
left quotient ring isomorphic to the ring E of Q-endomorphisms of the “quotient module” Q OR M…
left quotient ring isomorphic to the ring E of Q-endomorphisms of the “quotient module” Q OR M…
Endomorphism rings of torsionless modules
AV Jategaonkar - Transactions of the American Mathematical Society, 1971 - ams.org
… module and U* is naturally a (A, 5)-module. Let E denote the endomorphism ring of the left
,4-module … From the module UA, we can prepare the usual pre-equivalence data (B, A, U, U*,fg…
,4-module … From the module UA, we can prepare the usual pre-equivalence data (B, A, U, U*,fg…
Endomorphism rings of torsionless modules
JJ Hutchinson - Communications in Algebra, 1987 - Taylor & Francis
… Let M be a left ?-module and let S be the endomorph is^ ring of M. … exist if an only if M is
torsionless. Since a projective module is torsionless, these results generalize the theorerls in …
torsionless. Since a projective module is torsionless, these results generalize the theorerls in …
Commutative endomorphism rings
J Zelmanowitz - Canadian Journal of Mathematics, 1971 - cambridge.org
… Our aim in this section is to show that if M is a torsionless module with F(M) commutative, …
torsionless module. In this section we show that the endomorphism ring of this uniform module …
torsionless module. In this section we show that the endomorphism ring of this uniform module …
On the endomorphism ring of a free module
P Menal - Publicacions de la Secció de Matemàtiques, 1983 - JSTOR
… In this note we first study those rings R … module is said to be torsionless if it is contained in
a direct product of copies of R. If M is a right R-module, we denote by M the torsionless module …
a direct product of copies of R. If M is a right R-module, we denote by M the torsionless module …
Modules over endomorphism rings
AK Gupta, K Varadarajan - Communications in Algebra, 1980 - Taylor & Francis
… ring 3 to be co-noetherian if every quotient of a fe module 1s fe (equivalently every fe module
is artinlan), Any ring i … fe module is noetherian is called a co-artlr-ian ring by KR Fuller [9]. In …
is artinlan), Any ring i … fe module is noetherian is called a co-artlr-ian ring by KR Fuller [9]. In …
[引用][C] Anti-isomorphisms of endomorphism rings of locally free modules
KG Wolfson - Mathematische Zeitschrift, 1989 - Springer
… If in addition, A is assumed to be torsionless, and we denote by E=E(A*, F) the image of E(F,
A) under the adjoint mapping, then (E, A*, F) is bimodule isomorphic to (E, Ee, eEe) in the …
A) under the adjoint mapping, then (E, A*, F) is bimodule isomorphic to (E, Ee, eEe) in the …
[引用][C] Endomorphism rings and dual modules
JL Gómez - Journal of Algebra, 1990 - Elsevier
… modular rings, which allows us to extend the description of these classes of endomorphism
rings … We recall that a module M is said to be U-torsionless if it embeds in a direct product of …
rings … We recall that a module M is said to be U-torsionless if it embeds in a direct product of …
[引用][C] Modules over endomorphism rings. II
K Varadarajan, P Wani - Acta Mathematica Hungarica, 1989 - akjournals.com
… if M is a torsionless module over a semiprime ring R and N~ R… the endomorphism ring of a
fg quasi-projective hollow module … any R-module N. When RM is fg quasi-projective, for any R-…
fg quasi-projective hollow module … any R-module N. When RM is fg quasi-projective, for any R-…
[图书][B] Categories of modules over endomorphism rings
TG Faticoni - 1993 - books.google.com
… We view Morita's Theorems and their generalizations as instructive examples of the interactions
between module structure, endomorphism rings, and modules over endomorphism rings…
between module structure, endomorphism rings, and modules over endomorphism rings…
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