# When is a Quasi-p-injective Module Continuous?

**Tags:** MODULES (Algebra); RING theory; INJECTIVE modules (Algebra); HOMOMORPHISMS (Mathematics); ALGEBRA

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- In a Right Perfect Right Self-Injective Ring Right PF? Nguyen Thi Bach Kim // Vietnam Journal of Mathematics;Dec2000, Vol. 28 Issue 4, p321
Examines the formulations of right perfect right self-injective ring R. Sufficient conditions for a semiperfect ring; Questions for a right perfect right self-injective ring R; Characterization of a right pseudo-frobenius ring.

- Principally Small Injective Rings. YUEMING XIANG // Kyungpook Mathematical Journal;Jun2011, Vol. 51 Issue 2, p177
A right ideal I of a ring R is small in case for every proper right ideal K of R, K + I ? R. A right R-module M is called PS-injective if every R-homomorphism f : aR ? M for every principally small right ideal aR can be extended to R ? M. A ring R is called right PS-injective if R is...

- A Weaker Form of p-injectivity. Hoang Dinh Hai; Nguyen Van Sanh; Aisuriya Sudprasert // Southeast Asian Bulletin of Mathematics;2009, Vol. 33 Issue 6, p1063
Let R be a ring. A right R-module N is called an M-p-injective module if any homomorphism from an M-cyclic submodule of M can be extended to M. In this paper, we extend this notion and investigate the class of M-rp-injective modules and M-lp-injective modules, and prove that for a finitely...

- Weakly P-injective Rings. Zhanmin, Zhu // Southeast Asian Bulletin of Mathematics;2007, Vol. 31 Issue 3, p615
A ring R is called right-right (resp. right-left) weakly P-injective, if, for any 0 â‰ a âˆˆ R, there exists b âˆˆ R such that ba âˆˆ 0 (resp. ab â‰ 0) and any right R-homomorphism from baR (resp. abR) to R extends to an endomorphism of R. In this paper, various properties of...

- Algebraic cobordisms of a Pfister quadric. A. Vishik; N. Yagita // Journal of the London Mathematical Society;Dec2007, Vol. 76 Issue 3, p586
In this article we compute the ring of algebraic cobordisms of a Pfister quadric. This is a rare example of a non-cellular variety where such a computation is known. We consider the algebraic cobordisms O* of Levine and Morel, as well as the MGL2*, * of Voevodsky. The methods of computation in...

- Some Generalizations of Small Injective Modules. TRUONG CONG QUYNH // Bulletin of the Malaysian Mathematical Sciences Society;2012, Vol. 35 Issue 3, p621
Let R be a ring. Let m and n be positive integers, a right R-module M is called (m,n)-small injective, if every right R-homomorphism from an n-generated submodule of Jm to M extends to one from Rm to M. A ring R is called right (m,n)-small injective if the right R module RR is (m,n)-small...

- On Quasi-(í’Ž, í’)-Injective Modules. Zhanmin Zhu; Jianlong Chen; Xiaoxiang Zhang // Southeast Asian Bulletin of Mathematics;2004, Vol. 28 Issue 5, p971
Let R be a ring. Given a right R-module M, for two fixed positive integers m and n, a right R-module N is called M-n-generated if it is a homomorphic image of Mn. We call M quasi-(m, n)-injective if each R-homomorphism from an M-n-generated submodule of Mm to M extends to one from Mm to M....

- ON GENERALIZED EXTENDING MODULES. Kamal, M. A.; Sayed, A. // Acta Mathematica Universitatis Comenianae;2007, Vol. 76 Issue 2, p193
H. Hanada, J. Kado, and K. Oshiro have introduced, in a diagram of modules and homomorphisms, the concept of generalized M-injective modules. S. Mohamed, and B. Mueller have given a different characterization, based on an exchange property, of the generalized M-injective modules. Here we...

- Quasi-c-Principally Injective Modules and Self-c-Principally Injective Rings. Chaturvedi, A. K.; Pandeya, B. M.; Gupta, A. J. // Southeast Asian Bulletin of Mathematics;2009, Vol. 33 Issue 4, p685
In this paper, the concepts of quasi-c-principally injective modules (in short, quasi-cp-injective modules) and self-c-principally injective rings are introduced. In support of these concepts we have also provided the examples. The characterization and some properties of quasi-cp-injective...