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Lie identities for Hopf algebras
Let R denote either a group algebra over a field of characteristic p > 3 or the restricted enveloping algebra of a restricted Lie algebra over a field of characteristic p > 2. Viewing R as a LieExpand
Nonmatrix Varieties and Nil-Generated Algebras Whose Units Satisfy a Group Identity
Abstract LetR×denote the group of units of an associative algebraRover an infinite fieldF. We prove that ifRis unitarily generated by its nilpotent elements, thenR×satisfies a group identityExpand
Mathematics and the Roots of Postmodern Thought
  • V. Tasic
  • Mathematics, Psychology
  • 30 August 2001
This is a charming and insightful contribution to an understanding of the "Science Wars" between postmodernist humanism and science, driving toward a resolution of the mutual misunderstanding thatExpand
On single-law definitions of groups
The problem of single-law definability of mononomic (that is finitely axiomatisable) varieties of groups is a very intriguing subject, not least because of the questions it raises in universalExpand
The transfer of a commutator law from a nil-ring to its adjoint group
For every field F of characteristic p 1⁄2 0, we construct an example of a finite dimensional nilpotent F-algebra R whose adjoint group A(R) is not centreby-metabelian, in spite of the fact that R isExpand
Mal'cev nilpotent algebras
Abstract. We show that the Mal'cev semigroup identity xn = yn holds in the circle semigroup of an associative algebra over an infinite field precisely when the algebra is Lie nilpotent of class atExpand
On the Growth of Subalgebras in Lie p-Algebras
Abstract Let L be a finitely generated Lie p -algebra over a finite field F . Then the number, a n ( L ), of p -subalgebras of finite codimension n in L is finite. We say that L has PSG (polynomial pExpand
On unit groups of lie centre-by- metabelian algebras
Abstract Tasic, V., On unit groups of Lie centre-by-metabelian algebras, Journal of Pure and Applied Algebra 78 (1992) 195-201. We prove that the group of units of a Lie centre-by-metabelian algebraExpand