Results 181 to 190 of about 1,129,791 (207)

Good dualities and strongly quasi-injective modules

Annali di Matematica Pura ed Applicata, 1981
Siano R ed A due anelli e siaRKA un bimodulo topologico di Hausdorff su R ed A dotati della topologia discrete. Sia D(KA) la categoria formata dagli A-moduli astratti M tali che HomA (M, K) separa i punti di M e sia C(RK) la categoria formata dagli R-moduli topologici che sono topologicamente isomorfi a sottomoduli chiusi di prodotti topologici di ...
MENINI, Claudia, A. ORSATTI
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Some criteria of cyclically pure injective modules [PDF]

Journal of Algebra, 2006
The structure of cyclically pure injective modules over a commutative ring R is investigated and several characterizations for them are presented. In particular, we prove that a module D is cyclically pure injective if and only if D is isomorphic to a ...
Kamran Divaani-Aazar, Massoud Tousi
exaly   +2 more sources

Rings whose mininjective modules are injective

Communications in Algebra
The main goal of this paper is to characterize rings over which the mininjective modules are injective, so that the classes of mininjective modules and injective modules coincide.
Juan Ramon Garcia Rózas, Yusuf Alagöz, Luis Oyonarte Alcalà   +2 more
exaly   +2 more sources

Quasi-injective modules withacc ordec on essential submodules

Archiv der Mathematik, 1989
It is shown that finitely generated modules with the properties given in the title are noetherian resp. artinian. Another result in the paper is that the endomorphism ring of a quasi-injective, quasi-projective module with acc on essential submodules is a ring direct sum of a left artinian ring and a von Neumann regular, left self-injective ring. Also,
Nguyen V. Dung, Dinh Van Huynh, Wisbauer, Robert   +2 more
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Delta-modules and their quasi-injective hulls

Communications in Algebra, 1990
A right R-module M is called a Δ-module if R has the decending chain condition on annihilators of subsets of M. The purpose of this paper is concerned with determining when the injective hull or the quasi-injective hull of a Δ-module is a Δ-module by utilizing the prime ideals of the ring.
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An Equational Characterization of Quasi-injective Modules

Communications in Algebra, 1997
Injective modules are known to be precisely those over which every compatible system of linear equations is solvable. In this note, we introduce the concept of strong compatibility to give an analogous, but not generally known characterization of quasi-injectivity.
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Quasi-Injective Modules and Irreducible Rings

Journal of the London Mathematical Society, 1961
Johnson, R. E., Wong, E. T.
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Quasi-injective modules and their endomorphism rings

Archiv der Mathematik, 1964
Faith, Carl, Utumi, Yuzo
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Linearly compact rings and strongly quasi-injective modules

1980
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On The Number of Simple and Projective Modules in the Quasi-Tubes of Self-Injective Algebras

Communications in Algebra, 2010
Andrzej Skowroński, Piotr Malicki
exaly