[PDF][PDF] Some examples of right self-injective rings which are not left self-injective
FL Sandomierski - Proc. Amer. Math. Soc, 1970 - scholar.archive.org
Endomorphism rings of nonfinitely generated free right i?-modules over a quasi-Frobenius
ring R are right self-injective but not left self-injective. A well-known example of a right self …
ring R are right self-injective but not left self-injective. A well-known example of a right self …
On perfect simple-injective rings
W Nicholson, M Yousif - Proceedings of the American Mathematical …, 1997 - ams.org
Harada calls a ring $ R $ right simple-injective if every $ R $-homomorphism with simple
image from a right ideal of $ R $ to $ R $ is given by left multiplication by an element of $ R …
image from a right ideal of $ R $ to $ R $ is given by left multiplication by an element of $ R …
[引用][C] Self-injective rings and endomorphisms of free modules
VI Gemintern - Mathematical notes of the Academy of Sciences of the …, 1969 - Springer
Self-injective rings and endomorphisms of free modules Page 1 SELF-INJECTIVE RINGS OF
FREE MODULES VI Gemintern AND ENDOMORPHISMS UDC 512.4 It is shown that the ring of …
FREE MODULES VI Gemintern AND ENDOMORPHISMS UDC 512.4 It is shown that the ring of …
Self-injective rings
T Kato - Tohoku Mathematical Journal, Second Series, 1967 - jstage.jst.go.jp
Note that, if X is a subset of a ring R, l (X)(resp. r (X)) is just the left (resp. right) annihilator of
X in R since(RR)*= RR. We call a ring R right PF if every faithful right R-module is a …
X in R since(RR)*= RR. We call a ring R right PF if every faithful right R-module is a …
FP-injective, simple-injective, and quasi-Frobenius rings
MF Yousif, Y Zhou - 2004 - Taylor & Francis
Motivated by a result of Mochizuki [Mochizuki, H.(1965). Finitistic global dimension for rings.
Pacific J. Math. 15 (1): 249–258] that, for a left perfect ring R with Jacobson radical if and …
Pacific J. Math. 15 (1): 249–258] that, for a left perfect ring R with Jacobson radical if and …
[PDF][PDF] On Quasi-Frobeniusean and artinian rings
RYC Ming - Publications De L, institut Math ematique, 1983 - elib.mi.sanu.ac.rs
Left д-injective ringsИ which extend left self injective ringsИ have been considered in
several papers (cf. for exampleИ [10]-[14]). The following generalizations of left д-injective …
several papers (cf. for exampleИ [10]-[14]). The following generalizations of left д-injective …
On regular self-injective rings
V Cateforis - Pacific Journal of Mathematics, 1969 - msp.org
If R is a right non-singular ring (with 1) and Q is its (RE Johnson) maximal right quotient ring,
then the R-epimorphism∑ ipi⊗ qi→∑ piqi from (Q⊗ RQ) R to QR is not in general a …
then the R-epimorphism∑ ipi⊗ qi→∑ piqi from (Q⊗ RQ) R to QR is not in general a …
[引用][C] On ℵ-injective regular rings
P Ara - Journal of Pure and Applied Algebra, 1986 - Elsevier
It is well-known that a right self-injective, left go-injective regular ring is directly finite, and
then unit-regular (cf.[2, Theorem 9.29].) Also, it is proved in [3, Theorem 1.8] that a right go …
then unit-regular (cf.[2, Theorem 9.29].) Also, it is proved in [3, Theorem 1.8] that a right go …
On self-injective perfect rings
D Herbera, A Shamsuddin - Canadian Mathematical Bulletin, 1996 - cambridge.org
ON SELF-INJECTIVE PERFECT RINGS Page 1 Canad. Math. Bull. Vol. 39 (1), 1996 pp. 55-58
ON SELF-INJECTIVE PERFECT RINGS DOLORS HERBERA AND AHMAD SHAMSUDDIN …
ON SELF-INJECTIVE PERFECT RINGS DOLORS HERBERA AND AHMAD SHAMSUDDIN …
[引用][C] A note on perfect self-injective rings
J Clark, DVAN HUYNH - The Quarterly Journal of Mathematics, 1994 - academic.oup.com
A ring is called quasi-Frobenius, briefly QF, if it is right (or left) Artinian and right (or left) self-
injective. A ring R is said to be right (left) perfect if every right (left)/?-module has a projective …
injective. A ring R is said to be right (left) perfect if every right (left)/?-module has a projective …