Universally Koszul algebras defined by monomials
Aldo Conca (2002)
Rendiconti del Seminario Matematico della Università di Padova
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Displaying similar documents to “Degree estimate for subalgebras generated by two elements”
Universally Koszul algebras defined by monomials
q-Leibniz Algebras
Dzhumadil'daev, A. S. (2008)
Serdica Mathematical Journal
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2000 Mathematics Subject Classification: Primary 17A32, Secondary 17D25. An algebra (A,ο) is called Leibniz if aο(bοc) = (a ο b)ο c-(a ο c) ο b for all a,b,c ∈ A. We study identities for the algebras A(q) = (A,οq), where a οq b = a ο b+q b ο a is the q-commutator. Let Char K ≠ 2,3. We show that the class of q-Leibniz algebras is defined by one identity of degree 3 if q2 ≠ 1, q ≠−2, by two identities of degree 3 if q = −2, and by the commutativity identity and one identity...
The Real Jacobian Conjecture for polynomials of degree 3
Janusz Gwoździewicz (2001)
Annales Polonici Mathematici
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We show that every local polynomial diffeomorphism (f,g) of the real plane such that deg f ≤ 3, deg g ≤ 3 is a global diffeomorphism.
Free Bicommutative Algebras
Dzhumadil'daev, A. S., Ismailov, N. A., Tulenbaev, K. M. (2011)
Serdica Mathematical Journal
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2000 Mathematics Subject Classification: Primary 17A50, Secondary 16R10, 17A30, 17D25, 17C50. Algebras with identities a(bc)=b(ac), (ab)c=(ac)b is called bicommutative. Bases and the cocharacter sequence for free bicommutative algebras are found. It is shown that the exponent of the variety of bicommutaive algebras is equal to 2.
Degrees of Polynomial Solutions of a Class of Riccati - tipe Differential Equations*.
Mira Bhargava (1964)
Collectanea Mathematica
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Plane Jacobian conjecture for simple polynomials
Nguyen Van Chau (2008)
Annales Polonici Mathematici
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A non-zero constant Jacobian polynomial map F=(P,Q):ℂ² → ℂ² has a polynomial inverse if the component P is a simple polynomial, i.e. its regular extension to a morphism p:X → ℙ¹ in a compactification X of ℂ² has the following property: the restriction of p to each irreducible component C of the compactification divisor D = X-ℂ² is of degree 0 or 1.
Truncated polynomial algebras over the Steenrod algebra.
Mohamed Ali (1990)
Publicacions Matemàtiques
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It is shown that the classification of polynomial algebras over the mod p Steenrod algebra is an essentially different problem from the classification of polynomial algebras truncated at height greater than p over the Steenrod algebra.
On centers of type A and B of polynomial systems
Conti, R.
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Existence of Polynomial Solutions of a Class of Riccati-Type Differential Equations.
H. Kaufman, Mira Bhargava (1965)
Collectanea Mathematica
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On the global asymptotic stability problem and the Jacobian conjecture
Ludwik Drużkowski (2005)
Control and Cybernetics
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Two remarks on non-zero constant Jacobian polynomial maps of ℂ²
Nguyen Van Chau (2003)
Annales Polonici Mathematici
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We present some estimates on the geometry of the exceptional value sets of non-zero constant Jacobian polynomial maps of ℂ² and their components.
Free Modal Pseudocomplemented De Morgan Algebras
Aldo V. Figallo, Nora Oliva, Alicia Ziliani (2018)
Bulletin of the Section of Logic
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Modal pseudocomplemented De Morgan algebras (or mpM-algebras) were investigated in A. V. Figallo, N. Oliva, A. Ziliani, Modal pseudocomplemented De Morgan algebras, Acta Univ. Palacki. Olomuc., Fac. rer. nat., Mathematica 53, 1 (2014), pp. 65–79, and they constitute a proper subvariety of the variety of pseudocomplemented De Morgan algebras satisfying xΛ(∼x)* = (∼(xΛ(∼x)*))* studied by H. Sankappanavar in 1987. In this paper the study of these algebras is continued. More precisely, new...
Algebras, Dialgebras, and Polynomial Identities
R. Bremner, Murray (2012)
Serdica Mathematical Journal
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2010 Mathematics Subject Classification: Primary 17A30. Secondary 16R10, 17-08, 17A32, This is a survey of some recent developments in the theory of associative and nonassociative dialgebras, with an emphasis on polynomial identities and multilinear operations. We discuss associative, Lie, Jordan, and alternative algebras, and the corresponding dialgebras; the KP algorithm for converting identities for algebras into identities for dialgebras; the BSO algorithm for converting...