La dimension de Gel'fand-Kirillov
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Catherine Heimendinger (1976/1977)
Groupe d'étude d'algèbre Groupe d'étude d'algèbre
Pierre Cartier (1982/1983)
Séminaire Bourbaki
Paul M. Cohn (1969/1970)
Séminaire Schützenberger
Anne Cortella, Jean-Pierre Tignol (2005)
Journal de Théorie des Nombres de Bordeaux
Soit un anneau principal et un -module de torsion de type fini. Nous donnons une preuve élémentaire du fait que tout automorphisme de -algèbre de est intérieur.
S. Halperin (1983)
Mémoires de la Société Mathématique de France
Zhongkui Liu, Xiao Yan Yang (2008)
Archivum Mathematicum
A ring is called a left APP-ring if the left annihilator is right -unital as an ideal of for any element . We consider left APP-property of the skew formal power series ring where is a ring automorphism of . It is shown that if is a ring satisfying descending chain condition on right annihilators then is left APP if and only if for any sequence of elements of the ideal
Atsushi Nakajima, Mehmet Sapanci (1994)
Δελτίο της Ελληνικής Μαθηματικής Εταιρίας
Jongwook Baeck (2024)
Czechoslovak Mathematical Journal
Let be the polynomial ring over a ring with unity. A polynomial is referred to as a left annihilating content polynomial (left ACP) if there exist an element and a polynomial such that and is not a right zero-divisor polynomial in . A ring is referred to as left EM if each polynomial is a left ACP. We observe the structure of left EM rings with various properties, and study the relationships between the one-sided EM condition and other standard ring theoretic conditions. Moreover,...
K.D. jr. Magill, P.R. Misra (1997)
Semigroup forum
A. Tillier (1977)
Publications du Département de mathématiques (Lyon)
Thomas Siebert (1996)
Mathematische Annalen
Yanbo Li, Feng Wei (2015)
Colloquium Mathematicae
Let K be a field and Γ a finite quiver without oriented cycles. Let Λ := K(Γ,ρ) be the quotient algebra of the path algebra KΓ by the ideal generated by ρ, and let 𝒟(Λ) be the dual extension of Λ. We prove that each Lie derivation of 𝒟(Λ) is of the standard form.
Motoshi Hongan, Nadeem Ur Rehman, Radwan Mohammed AL-Omary (2011)
Rendiconti del Seminario Matematico della Università di Padova
Nishteman N. Suliman, Abdul-Rahman H. Majeed (2013)
Discussiones Mathematicae - General Algebra and Applications
Let M be a 2 and 3-torsion free prime Γ-ring, d a nonzero derivation on M and U a nonzero Lie ideal of M. In this paper it is proved that U is a central Lie ideal of M if d satisfies one of the following (i) d(U)⊂ Z, (ii) d(U)⊂ U and d²(U)=0, (iii) d(U)⊂ U, d²(U)⊂ Z.
Meena Sahai (1995)
Publicacions Matemàtiques
Let K be a field of characteristic p > 2 and let G be a group. Necessary and sufficient conditions are obtained so that the group algebra KG is strongly Lie solvable of derived length at most 3. It is also shown that these conditions are equivalent to KG Lie solvable of derived length 3 in characteristic p ≥ 7.
Gerald W. Schwarz (1995)
Annales scientifiques de l'École Normale Supérieure
Ciupală, C. (2003)
Acta Mathematica Universitatis Comenianae. New Series
Endimioni, Gérard (1995)
Portugaliae Mathematica
Magill, Kenneth D.jun. (2001)
International Journal of Mathematics and Mathematical Sciences
Seth WARNER (1994)
Forum mathematicum
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