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Lie identities for Hopf algebras

- David M. Riley, V. Tasic
- Mathematics
- 24 October 1997

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 Lie… Expand

Nonmatrix Varieties and Nil-Generated Algebras Whose Units Satisfy a Group Identity

- Y. Billig, David M. Riley, V. Tasic
- Mathematics
- 1 April 1997

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 identity… Expand

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 that… Expand

Decidability of semigroup identities in soluble groups

- Sinia Crvenković, V. Tasic
- Mathematics
- 28 January 2001

A LOCALLY FINITE VARIETY OF RINGS WITH AN UNDECIDABLE EQUATIONAL THEORY

- S. Crvenkovic, I. Dolinka, V. Tasic
- Mathematics
- 15 December 2005

On single-law definitions of groups

- V. Tasic
- Mathematics
- 1 February 1988

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 universal… Expand

The transfer of a commutator law from a nil-ring to its adjoint group

- David M. Riley, V. Tasic
- Mathematics
- 1 March 1997

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 is… Expand

Mal'cev nilpotent algebras

- D. M. Riley, V. Tasic
- Mathematics
- 1999

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 at… Expand

On the Growth of Subalgebras in Lie p-Algebras

- David M. Riley, V. Tasic
- Mathematics
- 1 March 2001

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 p… Expand

On unit groups of lie centre-by- metabelian algebras

- V. Tasic
- Mathematics
- 6 April 1992

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 algebra… Expand

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