Transitions in abstract algebra throughout the Bachelor: the concept of ideal in ring theory as a gateway to mathematical structuralism [PDF]
, 2022 International ...
Julie Jovignot, Thomas Hausberger
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A Study on Algebra of Groups and Rings Structures in Mathematics
International Journal of Scientific and Innovative Mathematical Research, 2017 Naga Chengalvala +3 more
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A Study on Algebra of Groups and Rings Structures in Mathematics
Asian Journal of Organic & Medicinal Chemistry, 2021 openalex +2 more sources
Quantum cluster algebras and quantum nilpotent algebras. [PDF]
Proc Natl Acad Sci U S A, 2014 Significance Cluster algebras are used to study in a unified fashion phenomena from many areas of mathematics. In this paper, we present a new approach to cluster algebras based on noncommutative ring theory.
Goodearl KR, Yakimov MT.
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Rings of differential operators on singular generalized multi-cusp algebras [PDF]
Algebra and discrete mathematics, 2023 The aim of the paper is to study the ring of differential operators $\mathcal{D}(A(m))$ on the generalized multi-cusp algebra $A(m)$ where $m\in \mathbb{N}^n$ (of Krull dimension $n$). The algebra $A(m)$ is singular apart from the single case when $m=(1,
Volodymyr Bavula, K. Hakami
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Operators on regular rings of Leavitt path algebras
Mathematics and Computer Science, 2023 In [8, Theorem 1], Jain and Prasad obtained a kind of symmetry of regular rings which is interesting and useful in the theory of shorted operators (cf. [9]). We show that this symmetry property indeed holds for endomorphism rings of Leavitt path algebras.
T. Ozdin
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An inductive approach to representations of general linear groups over compact discrete valuation rings [PDF]
, 2020 In his seminal Lecture Notes in Mathematics published in 1981, Andrey Zelevinsky introduced a new family of Hopf algebras which he called {\em PSH-algebras}. These algebras were designed to capture the representation theory of the symmetric groups and of
Crisp, Tyrone, Meir, Ehud, Onn, Uri
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On the Finiteness of the Derived Equivalence Classes of some Stable Endomorphism Rings [PDF]
, 2020 We prove that the stable endomorphism rings of rigid objects in a suitable Frobenius category have only finitely many basic algebras in their derived equivalence class and that these are precisely the stable endomorphism rings of objects obtained by ...
August, Jenny
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Fixed rings of quantum generalized Weyl algebras [PDF]
Communications in Algebra, 2019 Generalized Weyl algebras (GWAs) appear in diverse areas of mathematics including mathematical physics, noncommutative algebra, and representation theory. We study the invariants of quantum GWAs under finite order automorphisms.
Jason Gaddis, P. Ho
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Hausdorff series in semigroup rings of rectangular bands
Creative Mathematics and Informatics, 2022 "The Hausdorff series provides a solution to the equation $w=\log(e^ue^v)$ given by a recursive formula which can be expressed as nested commutators of $u$ and $v$.
O. Kelekci
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