Results 11 to 20 of about 98,002 (213)
Workshop on Commutative Algebra
The central theme of this volume is commutative algebra, with emphasis on special graded algebras, which are increasingly of interest in problems of algebraic geometry, combinatorics and computer algebra.
Bruns, Winfried, Simis, Aron
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New companions to the Andrews–Gordon identities motivated by commutative algebra [PDF]
We give a proof of a recent combinatorial conjecture due to the first author, which was discovered in the framework of commutative algebra. This result gives rise to new companions to the famous Andrews-Gordon identities.
Pooneh Afsharijoo +3 more
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Separable commutative algebras and Galois theory in stable homotopy theories [PDF]
We relate two different proposals to extend the \'etale topology into homotopy theory, namely via the notion of finite cover introduced by Mathew and via the notion of separable commutative algebra introduced by Balmer.
N. Naumann, Luca Pol
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The field of mathematics that studies the relationship between algebraic structures and graphs is known as algebraic graph theory. It incorporates concepts from graph theory, which examines the characteristics and topology of graphs, with those from ...
Amal S. Alali +5 more
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Generalizations of Stillman’s Conjecture via Twisted Commutative Algebra [PDF]
Combining recent results on Noetherianity of twisted commutative algebras by Draisma and the resolution of Stillman’s conjecture by Ananyan–Hochster, we prove a broad generalization of Stillman’s conjecture.
D. Erman, Steven V. Sam, Andrew Snowden
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The commutative nonassociative algebra of metric curvature tensors [PDF]
The space of tensors of metric curvature type on a Euclidean vector space carries a two-parameter family of orthogonally invariant commutative nonassociative multiplications invariant with respect to the symmetric bilinear form determined by the metric ...
Daniel J. F. Fox
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Biderivations and Commutative Post-Lie Algebra Structures on the Lie Algebra $\mathcal{W}(a,b)$ [PDF]
For $a,b\in \mathbb{C}$, the Lie algebra $\mathcal{W}(a,b)$ is the semidirect product of the Witt algebra and a module of the intermediate series. In this paper, all biderivations of $\mathcal{W}(a,b)$ are determined.
Xiaomin Tang
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𝒩-Structures Applied to Commutative Ideals of BCI-Algebras
The study of symmetry is one of the most important and beautiful themes uniting various areas of contemporary arithmetic. Algebraic structures are useful structures in pure mathematics for learning a geometrical object’s symmetries. In order to provide a
G. Muhiuddin, M. Elnair, D. Al-Kadi
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A Class of Koszul Algebra and Some Homological Invariants through Circulant Matrices and Cycles
Recent advances in graph theory, linear algebra, and commutative algebra render us to tackle problems in one bough of mathematics with assistance and guidance from others.
M. Nadeem +5 more
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A combinatorial non-commutative Hopf algebra of graphs [PDF]
A non-commutative, planar, Hopf algebra of planar rooted trees was defined independently by one of the authors in Foissy (2002) and by R. Holtkamp in Holtkamp (2003). In this paper we propose such a non-commutative Hopf algebra for graphs.
A. Tanasa +4 more
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