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Displaying 3081 – 3100 of 3959

The Strong Anick Conjecture is true

Vesselin Drensky, Jie-Tai Yu (2007)

Journal of the European Mathematical Society

Recently Umirbaev has proved the long-standing Anick conjecture, that is, there exist wild automorphisms of the free associative algebra $K 〈 x, y, z 〉$ over a field $K$ of characteristic 0. In particular, the well-known Anick automorphism is wild. In this article we obtain a stronger result (the Strong Anick Conjecture that implies the Anick Conjecture). Namely, we prove that there exist wild coordinates of $K 〈 x, y, z 〉$ . In particular, the two nontrivial coordinates in the Anick automorphism are both wild. We establish a...

The structure of Loewy modules.

Thomas S. Shores (1972)

Journal für die reine und angewandte Mathematik

The structure of Morita dual monoids.

P. Normak (1992)

Semigroup forum

The structure of primary modules

Ladislav Bican (1976)

Acta Universitatis Carolinae. Mathematica et Physica

The Structure of -simple Involution Rings with Minimal -Biideals

Aburawash, A. (1992)

Beiträge zur Algebra und Geometrie = Contributions to algebra and geometry

The structure of the unit group of the group algebra $𝔽_{2^{k}} A_{4}$

Joe Gildea (2011)

Czechoslovak Mathematical Journal

The structure of the unit group of the group algebra of the group $A_{4}$ over any finite field of characteristic 2 is established in terms of split extensions of cyclic groups.

The structures of Hopf $*$ -algebra on Radford algebras

Hassan Suleman Esmael Mohammed, Hui-Xiang Chen (2019)

Czechoslovak Mathematical Journal

We investigate the structures of Hopf $*$ -algebra on the Radford algebras over $ℂ$ . All the $*$ -structures on $H$ are explicitly given. Moreover, these Hopf $*$ -algebra structures are classified up to equivalence.

The Sub-Semi-Groups Excluding Zero of a Near-Ring.

George Szeto (1973)

Monatshefte für Mathematik

The symmetry of unit ideal stable range conditions

Huanyin Chen, Miaosen Chen (2005)

Archivum Mathematicum

In this paper, we prove that unit ideal-stable range condition is right and left symmetric.

The symplectic Gram-Schmidt theorem and fundamental geometries for $𝒜$ -modules

Patrice P. Ntumba (2012)

Czechoslovak Mathematical Journal

Like the classical Gram-Schmidt theorem for symplectic vector spaces, the sheaf-theoretic version (in which the coefficient algebra sheaf $𝒜$ is appropriately chosen) shows that symplectic $𝒜$ -morphisms on free $𝒜$ -modules of finite rank, defined on a topological space $X$ , induce canonical bases (Theorem 1.1), called symplectic bases. Moreover (Theorem 2.1), if $(ℰ, φ)$ is an $𝒜$ -module (with respect to a $ℂ$ -algebra sheaf $𝒜$ without zero divisors) equipped with an orthosymmetric $𝒜$ -morphism, we show, like in the classical...

The tropical Grassmannian.

Speyer, David, Sturmfels, Bernd (2004)

Advances in Geometry

The unit group of $F S_{3}$ .

Sharma, R.K., Srivastava, J.B., Khan, Manju (2007)

Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]

The universal skew field of fractions ofa tensor product of free rings

P. Cohn (1997)

Colloquium Mathematicae

The upper central series of some matrix groups

B. Wehrfritz (1990)

Fundamenta Mathematicae

The vanishing of self-extensions over n-symmetric algebras of quasitilted type

Maciej Karpicz, Marju Purin (2014)

Colloquium Mathematicae

A ring Λ satisfies the Generalized Auslander-Reiten Condition ( ) if for each Λ-module M with $E x t^{i} (M, M \oplus Λ) = 0$ for all i > n the projective dimension of M is at most n. We prove that this condition is satisfied by all n-symmetric algebras of quasitilted type.

The variety of an indecomposable module is connected.

Jon F. Carlson (1984)

Inventiones mathematicae

The Variety of Leibniz Algebras Defined by the Identity x(y(zt)) ≡ 0

Abanina, L., Mishchenko, S. (2003)

Serdica Mathematical Journal

2000 Mathematics Subject Classification: Primary: 17A32; Secondary: 16R10, 16P99, 17B01, 17B30, 20C30Let F be a field of characteristic zero. In this paper we study the variety of Leibniz algebras 3N determined by the identity x(y(zt)) ≡ 0. The algebras of this variety are left nilpotent of class not more than 3. We give a complete description of the vector space of multilinear identities in the language of representation theory of the symmetric group Sn and Young diagrams. We also show that the...

The Wells map for abelian extensions of 3-Lie algebras

Youjun Tan, Senrong Xu (2019)

Czechoslovak Mathematical Journal

The Wells map relates automorphisms with cohomology in the setting of extensions of groups and Lie algebras. We construct the Wells map for some abelian extensions $0 \to A ↪ L \overset{π}{\to} B \to 0$ of 3-Lie algebras to obtain obstruction classes in $H^{1} (B, A)$ for a pair of automorphisms in $Aut (A) \times Aut (B)$ to be inducible from an automorphism of $L$ . Application to free nilpotent 3-Lie algebras is discussed.

The Whitehead group of a polynomial extension

Hyman Bass, Alex Heller, Richard G. Swan (1964)

Publications Mathématiques de l'IHÉS

The Yoneda algebras of serial QF-algebras.

Generalov, A.I. (2002)

Zapiski Nauchnykh Seminarov POMI

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