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Regular modules and V-modules. II

Regular modules and V-modules. II
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Universal modules for decoding amplitude and frequency of Ca ²⁺ signals in plants

Vergara-Valladares F, Rubio-Meléndez ME, Charpentier M, Michard E, Dreyer I.   +4 more
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Weakly regular modules

Weakly regular modules
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UNIT-REGULAR MODULES

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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Abelian Groups and Regular Modules

Mathematical Notes, 2001
By the word module it is always meant a unitary left module over an associative ring with identity element and all groups are Abelian. A module is said to be regular if any of its cyclic submodules is a direct summand and a group is called endoregular if it is regular as a module over its endomorphism ring.
Krylov, P. A., Pakhomova, E. G.
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Modules with Regular Singularities on a Curve

Journal of the London Mathematical Society, 1989
Let k be an algebraically closed field of characteristic zero and \({\mathcal O}\) the ring of formal and convergent power series in one variable over k. Let \(A\subset {\mathcal O}\) be a k-subalgebra such that \(\dim _ k{\mathcal O}/A\) is finite.
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Generalization of Regular Modules

Communications in Algebra, 2007
We 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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REGULAR SINGULARITY OF DRINFELD MODULES

International Journal of Mathematics, 1994
Let \(\mathbb{F}_ q\) be the finite field with \(q=p^ n\) elements. Let \(K\) be a field containing \(\mathbb{F}_ q\) and let \(\tau: K\to K\) be the map \(x\mapsto x^ q\). So \(\tau\) gives rise to an embedding of \(K\) into itself which is surjective if and only if \(K\) is perfect. Let \(\overline {K}\) be a fixed algebraic closure of \(K\) with the
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