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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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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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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
exaly   +2 more sources

Regular multiplication modules

Periodica Mathematica Hungarica, 1995
This paper deals with the following two properties of a module \(M\) over a commutative ring \(R\) [see \textit{T. Cheatham} and \textit{E. Enochs}, Math. Jap. 26, 9-12 (1981; Zbl 0466.16013)]: \(F\) regularity (i.e., each submodule of \(M\) is pure); \(\mathbb{Z}\) regularity (i.e., for each \(m\in M\) there is a homomorphism \(\ell:M\to \mathbb{R ...
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NEW TYPES OF REGULAR GAMMA MODULES

Missouri Journal of Mathematical Sciences
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zyarah, Ali Abd Alhussein   +1 more
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Bezout and regular modules

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.
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Regular Modules for Tame Hereditary Algebras

Proceedings of the London Mathematical Society, 1991
Let \(R\) be an artinian, connected, hereditary ring that is finite-dimensional over its center \(k\), which is necessarily a field. \(R\) is said to be tame if the quadratic form on \(\mathbb{Q}\otimes_ \mathbb{Z} K_ 0R\) induced by the bilinear form \(\langle M,N\rangle = \dim\Hom_ R(M,N)-\dim\text{Ext}^ 1_ R(M,N)\) is positive semidefinite but not ...
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F-J-Semi Regular Modules

Iraqi Journal of Science, 2022
Lewaa R. Turki, Wasan Khalid
exaly  

The Fundamental Theorem of Affine Geometry in Regular L0-Modules

Journal of Mathematical Analysis and Applications, 2022
Long Long
exaly  

von Neumann regular modules

Communications in Algebra, 2018
Unsal Tekir, C Jayaram
exaly  

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