Results 1 to 10 of about 2,637,960 (172)
A Study on Algebra of Groups and Rings Structures in Mathematics
Naga Chengalvala+3 more
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A Study on Algebra of Groups and Rings Structures in Mathematics
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Quantum cluster algebras and quantum nilpotent algebras. [PDF]
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.
europepmc +3 more sources
Rings of differential operators on singular generalized multi-cusp algebras [PDF]
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
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]
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]
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]
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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Dimensioned Algebra: Mathematics with Physical Quantities [PDF]
A rigorous mathematical theory of dimensional analysis, systematically accounting for the use of physical quantities in science and engineering, perhaps surprisingly, was not developed until relatively recently.
Carlos Zapata-Carratalá
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Quantum cluster algebras [PDF]
Cluster algebras were introduced by S. Fomin and A. Zelevinsky in math.RT/0104151; their study continued in math.RA/0208229, math.RT/0305434. This is a family of commutative rings designed to serve as an algebraic framework for the theory of total ...
Andrei Zelevinsky+11 more
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