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Enhanced Multi-Scale Defect Detection in Steel Surfaces via Innovative Deep Learning Architecture. [PDF]
Sensors (Basel)Zhou Z, Cao Y.
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An effective deep learning algorithm for medical image registration. [PDF]
PLOS Digit HealthDeng J +5 more
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Dental caries misinformation on Instagram: Investigation of sharing and engagement factors.
Braz Oral ResMenezes TS +4 more
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Mathematical Notes, 1976
In this paper we introduce the concept of a module regular in the sense of von Neumann. We construct a regular completion of a module X torsion-free relative to a filter\(\mathfrak{F}_R \) of dense modules over a commutative semiprimary ring R. The paper's main result is a theorem that module X is divisible (is injective relative to filter\(\mathfrak{F}
V K Zakharov, Zakharov V K
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In this paper we introduce the concept of a module regular in the sense of von Neumann. We construct a regular completion of a module X torsion-free relative to a filter\(\mathfrak{F}_R \) of dense modules over a commutative semiprimary ring R. The paper's main result is a theorem that module X is divisible (is injective relative to filter\(\mathfrak{F}
V K Zakharov, Zakharov V K
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Generalization of Regular Modules
Communications in Algebra, 2007We study generalizations of regular modules by Ramamurthy and Mabuchi. These are also generalizations of fully right idempotent and fully left idempotent rings, respectively. We also define and study the properties of *-weakly regular modules, a generalization of fully idempotent rings.
M. Jayaraman, N. Vanaja
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1998
A regular module is any module M satisfying the following equivalent conditions. (1) Every cyclic submodule of M is a direct summand of M. (2) Every finitely generated submodule of M is a direct summand of M.
Tuganbaev Askar A
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A regular module is any module M satisfying the following equivalent conditions. (1) Every cyclic submodule of M is a direct summand of M. (2) Every finitely generated submodule of M is a direct summand of M.
Tuganbaev Askar A
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Glasgow Mathematical Journal, 2017
AbstractIn 2014, the first two authors proved an extension to modules of a theorem of Camillo and Yu that an exchange ring has stable range 1 if and only if every regular element is unit-regular. Here, we give a Morita context version of a stronger theorem.
Chen, H., Nicholson, W. K., Zhou, Y.
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AbstractIn 2014, the first two authors proved an extension to modules of a theorem of Camillo and Yu that an exchange ring has stable range 1 if and only if every regular element is unit-regular. Here, we give a Morita context version of a stronger theorem.
Chen, H., Nicholson, W. K., Zhou, Y.
openaire +1 more source