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Representations of a class of positively based algebras
We investigate the representation theory of the positively based algebra A m,d , which is a generalization of the noncommutative Green algebra of weak...
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The Cell Modules of the Green Algebra of Drinfel’d Quantum Double D(H4)
This paper is devoted to studying the structures of the cell modules of the complexified Green algebra R ( D ( H 4 )), where D ( H 4 ) is the Drinfel’d quantum...
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Strict Mittag-Leffler conditions and locally split morphisms
In this paper, we prove that any pure submodule of a strict Mittag-Leffler module is a locally split submodule. As applications, we discuss some...
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k-Modules Over Linear Spaces by n-Linear Maps Admitting a Multiplicative Basis
We study the structure of certain k -modules đť•Ť over linear spaces đť•Ž with restrictions neither on the dimensions of đť•Ť and đť•Ž nor on the base field...
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Dual CS-Rickart Modules over Dedekind Domains
We study d-CS-Rickart modules (i.e. modules M such that for every endomorphism φ of M , the image of φ lies above a direct summand of M ) over Dedekind...
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Strict Mittag-Leffler Conditions and Gorenstein Modules
In this paper, firstly, we characterize some rings by strict Mittag-Leffler conditions. Then, we investigate when Gorenstein projective modules are...
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A relation between tilting graphs and cluster-tilting graphs of hereditary algebras
We give the condition of isomorphisms between tilting graphs and cluster-tilting graphs of hereditary algebras. As a conclusion, it is proved that a...
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A note on ADS* modules
We study the ADS * modules which are the dualizations of ADS modules studied by Alahmadi et al. (J Algebra 352:215–222,
2012 ). Mainly we prove that an... -
On Ef-extending Modules and Rings with Chain Conditions
A module M is called ef-extending if every closed submodule which contains essentially a finitely generated submodule is a direct summand of M. A...
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Relatively Extending Modules
We investigate a generalization of extending modules relative to a class of modules and a proper class of short exact sequences of modules.
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Essential Extensions of a Direct Sum of Simple Modules-II
It is shown that a semi-regular ring R with the property that each essential extension of a direct sum of simple right R-modules is a direct sum of...
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A Zariski Topology for Bicomodules and Corings
In this paper we introduce and investigate top ( bi ) comodules of corings, that can be considered as dual to top (bi)modules of rings. The fully coprime...
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On Maximal Injectivity
A right R –module E over a ring R is said to be maximally injective in case for any maximal right ideal m of R , every R –homomorphism f : m → E can be...
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Injective and Projective Properties of R[x]-Modules
We study whether the projective and injective properties of left R -modules can be implied to the special kind of left R [ x ]-modules, especially to the...
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On essential extensions of reduced rings and domains
A ring is said to be a left essential extension of a reduced ring (domain) if it contains a left ideal which is a reduced ring (domain) and...
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When is a Quasi-p-injective Module Continuous?
It is well-known that every quasi-p-injective module has C2-condition. In this note, it is shown that for a quasi-p-injective module M which is a...
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On distributive modules and rings
In this paper we study ω-distributive modules, where ω is a cardinal number. We extend a characterization of distributive modules to ω-distributive...