On rings with one middle class of injectivity domains

R Alizade, YM Demirc, BN Türkmen… - Mathematical …, 2022 - hrcak.srce.hr
On rings with one middle class of injectivity domains 1. Introduction Page 1 MATHEMATICAL
COMMUNICATIONS 109 Math. Commun. 27(2022), 109–126 On rings with one middle class …

Weakly projective and weakly injective modules

SK Jain, SR López-Permouth, K Oshiro… - Canadian Journal of …, 1994 - cambridge.org
A module M is said to be weakly N-projective if it has a projective cover π: P (M)↠ M and for
each homomorphism: P (M)→ N there exists an epimorphism σ: P (M)↠ M such that (kerσ) …

[引用][C] Regular endomorphism rings of free modules

RF Shanny - Journal of the London Mathematical Society, 1971 - academic.oup.com
It is well known that if R is a regular ring and F is a free/^-module with finite basis, then
HomR (F, F) is a regular ring ([1]). Skornyakov asks if the condition that F have a finite basis …

On semiregular rings whose finitely generated modules embed in free modules

J Rada, M Saorin - Canadian Mathematical Bulletin, 1997 - cambridge.org
ON SEMIREGULAR RINGS WHOSE FINITELY GENERATED MODULES EMBED IN FREE
MODULES Dedicated to the memory of Professor Maurice Ausland Page 1 Canad. Math. Bull …

Wiles defect for modules and criteria for freeness

S Brochard, SB Iyengar, CB Khare - International Mathematics …, 2023 - academic.oup.com
Diamond proved a numerical criterion for modules over local rings to be free modules over
complete intersection rings. We formulate a refinement of these results using the notion of …

Modules which are self-injective relative to closed

C Santa-Clara, PF Smith - … Algebra and Its Applications, March 22 …, 2000 - books.google.com
Our concern is with modules M such that every homomorphism from a closed submodule of
M to M can be lifted to M. Although such modules share some of the properties of extending …

Rings whose modules are weakly supplemented are perfect. Applications to certain ring extensions

E BÜYÜKAŞIK, C Lomp - Mathematica scandinavica, 2009 - JSTOR
RINGS WHOSE MODULES ARE WEAKLY SUPPLEMENTED ARE PERFECT. APPLICATIONS
TO CERTAIN RING EXTENSIONS Page 1 MATH. SC AND. 105 (2009), 25-30 RINGS WHOSE …

[PDF][PDF] Projective modules over simple regular rings

J Kado - 1979 - projecteuclid.org
Recently KR Goodearl and D. Handelman [6] have studied simple regular rings from the
point of view of dimension-like functions. They have shown that there exists a unique …

Projectivity and flatness over the endomorphism ring of a finitely generated module

S Caenepeel, T Guédénon - International Journal of …, 2004 - Wiley Online Library
Projectivity and flatness over the endomorphism ring of a finitely generated module Page 1
IJMMS 2004:30, 1581–1588 PII. S0161171204310082 http://ijmms.hindawi.com © Hindawi …

Self-injective and PF endomorphism rings

JL García Hernández, JL Gómez Pardo - Israel Journal of Mathematics, 1987 - Springer
Self-injective and PF endomorphism rings Page 1 ISRAEL JOURNAL OF MATHEMATICS, Vol.
58, No. 3, 1987 SELF-INJECTIVE AND PF ENDOMORPHISM RINGS BY JL GARCiA …