Results 1 to 10 of about 18,592 (98)
Journal of Pure and Applied Algebra, 1991 Let \(R\) be a commutative ring with identity and let \(\mathbf I = (I,\leq)\) be a partially ordered set. An \(R_ I\)-module (or \(R\)-representation of \(\mathbf I\)) is a sequence \(\mathbf M = (M, M^ i, i\in I)\) consisting of an \(R\)-module \(M\) and distinguished submodules \(M^ i\) such that \(M^ i\subseteq M^ j\) for all \(i\leq j\in I\).
Böttinger, Claudia, Göbel, Rüdiger
openaire +2 more sources
Universal Deformation Rings of Modules for Algebras of Dihedral Type of Polynomial Growth [PDF]
Algebras and Representation Theory, 2012 Let k be an algebraically closed field, and let Λ be an algebra of dihedral type of polynomial growth as classified by Erdmann and Skowroński. We describe all finitely generated Λ-modules V whose stable endomorphism rings are isomorphic to k and ...
F. Bleher, Shannon N. Talbott
semanticscholar +4 more sources
Grothendieck Rings of Towers of Twisted Generalized Weyl Algebras [PDF]
Algebras and Representation Theory, 2021 Twisted generalized Weyl algebras (TGWAs) A ( R , σ , t ) are defined over a base ring R by parameters σ and t , where σ is an n -tuple of automorphisms, and t is an n -tuple of elements in the center of R .
J. Hartwig, D. Rosso
semanticscholar +2 more sources
Ordered set partitions, Garsia-Procesi modules, and rank varieties [PDF]
, 2020 We introduce a family of ideals $I_{n,\lambda,s}$ in $\mathbb{Q}[x_1,\dots,x_n]$ for $\lambda$ a partition of $k\leq n$ and an integer $s \geq \ell(\lambda)$.
Sean T. Griffin
semanticscholar +1 more source
Simple flat Leavitt path algebras are von Neumann regular [PDF]
Communications in Algebra, 2018 For a unital ring, it is an open question whether flatness of simple modules implies all modules are flat and thus the ring is von Neumann regular. The question was raised by Ramamurthi over 40 years ago who called such rings SF-rings (i.e.
A. A. Ambily, R. Hazrat, Huanhuan Li
semanticscholar +1 more source
Applications of ternary rings to $C^*$-algebras [PDF]
, 2016 We show that there is a functor from the category of positive admissible ternary rings to the category of $*$-algebras, which induces an isomorphism of partially ordered sets between the families of $C^*$-norms on the ternary ring and its corresponding $*
F. Abadie, Damián Ferraro
semanticscholar +1 more source
Topological Ordered Rings and Measures
Results in Mathematics, 2023 Given a ring endowed with a ring order, we provide sufficient conditions for the order topology induced by the ring order to become a ring topology (analogous results for module orders are consequently derived).
F. J. García-Pacheco +2 more
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Silting Modules over Triangular Matrix Rings [PDF]
Taiwanese journal of mathematics, 2020 Let $\Lambda,\Gamma$ be rings and $R=\left(\begin{array}{cc}\Lambda & 0 \\ M & \Gamma\end{array}\right)$ the triangular matrix ring with $M$ a $(\Gamma,\Lambda)$-bimodule. Let $X$ be a right $\Lambda$-module and $Y$ a right $\Gamma$-module. We prove that
Hanpeng Gao, Zhaoyong Huang
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Contemporary Mathematics, 2018 Semiprime ideals of an arbitrary Leavitt path algebra L are described in terms of their generators. This description is then used to show that the semiprime ideals form a complete sublattice of the lattice of ideals of L, and they enjoy a certain gap ...
S. López-Permouth +3 more
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Lie Algebras Associated with Modules over Polynomial Rings [PDF]
, 2017 Let 𝕂 be an algebraically closed field with characteristic zero and let V be a module over the polynomial ring 𝕂[x, y]. The actions of x and y specify linear operators P and Q on V regarded as a vector space over 𝕂. We define the Lie algebra LV = 𝕂〈P, Q〉
A. Petravchuk, K. Sysak
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