Results 11 to 20 of about 19,938 (92)
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
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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
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Classifying subcategories of modules over Noetherian algebras [PDF]
Advances in Mathematics, 2021 The aim of this paper is to unify classification theories of torsion classes of finite dimensional algebras and commutative Noetherian rings. For a commutative Noetherian ring $R$ and a module-finite $R$-algebra $\Lambda$, we study the set $\mathsf{tors}
O. Iyama, Y. Kimura
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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
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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
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Skew category algebras and modules on ringed finite sites [PDF]
Journal of Algebra, 2022 Let $\mathcal{C}$ be a small category. We investigate ringed sites $(\mathbf{C},\mathfrak{R})$ on $\mathcal{C}$ and the resulting module categories $\mathfrak{M}{\rm od}\text{-}\mathfrak{R}$.
Matt Wu, Fei Xu
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Representation of artinian partially ordered sets over semiartinian von Neuman regular algebras [PDF]
, 2009 If R is a semiartinian von Neumann regular ring, then the set Prim R of primitive ideals of R, ordered by inclusion, is an artinian poset in which all maximal chains have a greatest element.
G. Baccella
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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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Universal deformation rings of finitely generated Gorenstein-projective modules over finite dimensional algebras [PDF]
Journal of Pure and Applied Algebra, 2017 Let $\mathbf{k}$ be a field of arbitrary characteristic, let $\Lambda$ be a finite dimensional $\mathbf{k}$-algebra, and let $V$ be a finitely generated $\Lambda$-module. F. M.
Viktor Bekkert +2 more
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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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