Results 21 to 30 of about 322,032 (291)
AbstractAn R-module M is called ∑-extending if every coproduct of copies of M is extending, i.e. closed submodules are direct summands.Oshiro (1984) has shown that the ring R is ∑-extending as a left module if and only if the class of projective R->modules is closed under essential extensions.
Clark, John, Wisbauer, Robert
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Modules which are self-p-injective relative to projection invariant submodules
In this article, we focus on modules M such that every homomorphism from a projection invariant submodule of M to M can be lifted to M. Although such modules share some of the properties of PI -extending (i.e., every projection invariant submodule is ...
Kara Yeliz, Tercan Adnan
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Some Results on Pure Submodules Relative to Submodule
Let R be a commutative ring with identity 1 and M be a unitary left R-module. A submodule N of an R-module M is said to be pure relative to submodule T of M (Simply T-pure) if for each ideal A of R, N?AM=AN+T?(N?AM).
Baghdad Science Journal
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Strongly Uniform Extending Modules
In this paper, we introduced and studied the concept of strongly uniform extending modules, An R-module M is called strongly uniform extending (or M has (1-SC1) condition) if every uniform submodule of M is essential in a stable (fully invariant) direct ...
Saad Abdulkadhim Al-Saadi +1 more
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The study of extending modules has emerged as a major topic in module theory and several related concepts have been studied. The class of strongly extending modules, a subclass of the class of extending modules, is defined and studied in this paper. An \(R\)-module \(M\) is said to be strongly extending if, for any submodule \(N\) of \(M\), a fully ...
Ebrahimi Atani, S. +2 more
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Beyond Reality—Extending a Presentation Trainer with an Immersive VR Module
The development of multimodal sensor-based applications designed to support learners with the improvement of their skills is expensive since most of these applications are tailor-made and built from scratch.
Jan Schneider +2 more
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DiLizium: A Two-Party Lattice-Based Signature Scheme
In this paper, we propose DiLizium: a new lattice-based two-party signature scheme. Our scheme is constructed from a variant of the Crystals-Dilithium post-quantum signature scheme.
Jelizaveta Vakarjuk +2 more
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This paper aims to introduce the concepts of -closed, -coclosed, and -extending modules as generalizations of the closed, coclossed, and extending modules, respectively. We will prove some properties as when the image of the e*-closed submodule is also e*-closed and when the submodule of the e*-extending module is e*-extending. Under isomorphism,
Hiba R. Baanoon, Wasan Khild
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Brewe, Bruun, and Bearden first applied network analysis to understand patterns of incorrect conceptual physics reasoning in multiple-choice instruments introducing the module analysis for multiple-choice responses (MAMCR) algorithm.
Jie Yang +5 more
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Aiming at the small imaging, complex background and crowded distribution of remote sensing image targets, a remote sensing image target detection algorithm (HQ-S2ANet) based on perceptual extension and anchor frame optimal matching is proposed by using ...
HONG Wei +6 more
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