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Modules with Regular Singularities on a Curve
Journal of the London Mathematical Society, 1989Let 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, 1994Let \(\mathbb{F}_ q\) 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, 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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Regular multiplication modules
Periodica Mathematica Hungarica, 1995This 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 ScienceszbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zyarah, Ali Abd Alhussein +1 more
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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.
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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.
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Regular Modules for Tame Hereditary Algebras
Proceedings of the London Mathematical Society, 1991Let \(R\) 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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The Fundamental Theorem of Affine Geometry in Regular L0-Modules
Journal of Mathematical Analysis and Applications, 2022Long Long
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