Results 31 to 40 of about 5,631 (197)
JACOBSON RADICAL ALGEBRAS WITH QUADRATIC GROWTH [PDF]
, 2013 We show that over every countable algebraically closed field K there exists a finitely generated K-algebra that is Jacobson radical, infinite-dimensional, generated by two elements, graded and has quadratic growth.
Young, Alexander A., Smoktunowicz, Agata
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On the Coset Category of a Skew Lattice
Demonstratio Mathematica, 2014 Skew lattices are noncommutative generalizations of lattices. The coset structure decomposition is an original approach to the study of these algebras describing the relation between its rectangular classes.
Costa João Pita
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Unification Theories: Rings, Boolean Algebras and Yang–Baxter Systems
Axioms, 2023 This paper continues a series of papers on unification constructions. After a short discussion on the Euler’s relation, we introduce a matrix version of the Euler’s relation, E I π+U=O.
Florin F. Nichita
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The Green rings of Taft algebras
Proceedings of the American Mathematical Society, 2013 We compute the Green ring of the Taft algebra H n ( q
Chen, Huixiang +2 more
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Formal Groups and Hopf Algebras over Discrete Rings [PDF]
, 1974 A theory of formal schemes and groups over abitrary rings is presented. The flat formal schemes in this theory have coalgebras of distributions which behave in the usual way. Frobenius and Verschiebung maps are studied.
Robert A. Morris +3 more
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A quadratic Poisson Gel'fand-Kirillov problem in prime characteristic [PDF]
, 2015 The quadratic Poisson Gel’fand-Kirillov problem asks whether the field of fractions of a Poisson algebra is Poisson birationally equivalent to a Poisson affine space, i.e. to a polyno-mial algebra K[X1,..., Xn] with Poisson bracket defined by {Xi, Xj} =
Lecoutre, Cesar +3 more
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Rings of quotients of Φ-algebras [PDF]
Pacific Journal of Mathematics, 1971 Let
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A signature-based algorithm for computing Gröbner-Shirshov bases in skew solvable polynomial rings
Open Mathematics, 2015 Signature-based algorithms are efficient algorithms for computing Gröbner-Shirshov bases in commutative polynomial rings, and some noncommutative rings. In this paper, we first define skew solvable polynomial rings, which are generalizations of solvable ...
Zhao Xiangui, Zhang Yang
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Automating the calculation of the Hilbert–Kunz multiplicity and F-signature
SoftwareX, 2019 The Hilbert–Kunz multiplicity and F-signature are important invariants for researchers in commutative algebra and algebraic geometry. We provide software, and describe the automation, for the calculations of the two invariants in the case of intersection
Gabriel Johnson, Sandra Spiroff
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Reconstructing Classical Algebras via Ternary Operations
MathematicsAlthough algebraic structures are frequently analyzed using unary and binary operations, they can also be effectively defined and unified using ternary operations.
Jorge P. Fatelo, Nelson Martins-Ferreira
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