Home Page - Donald S. Passman

• Burnside's theorem for Hopf algebras (with Declan Quinn)
• Involutory Hopf algebras (with Declan Quinn)
• Derivations of skew polynomial rings (with J. Marshall Osborn)
• Delta ideals of Lie color algebras (with Jeffrey Bergen)
• Semiprimitivity of group algebras: a survey
• Semiprimitivity of group algebras of locally finite groups II
• The semiprimitivity problem for group algebras of locally finite groups
• Representations of the Gupta-Sidki group (with W. V. Temple)
• The semiprimitivity problem for twisted group algebras of locally finite groups
• Ultraproducts and the group ring semiprimitivity problem
• Group algebras whose units satisfy a group identity II
• Construction of free subgroups in the group of units of modular group algebras (with J. Z. Goncalves)
• The Jacobson radical of group rings of locally finite groups
• Semiprimitivity of group algebras: past results and recent progress
• Enveloping algebras of Lie color algebras: primeness versus graded-primeness (with Jeffrey Bergen)
• Group algebras with units satisfying a group identity II (with Chia-Hsin Liu)
• The semiprimitivity of group algebras
• Semi-invariants and weights of group algebras of finite groups (with P. Wauters)
• Noetherian down-up algebras (with Ellen Kirkman and Ian M. Musson)
• Simple Lie algebras of Witt type
• Simple Lie Color algebras of Witt type
• Groups with all irreducible modules of finite degree (with W. V. Temple)
• Simple Lie algebras of special type (with J. Bergen)
• Trace methods in twisted group rings
• Unitary units in group algebras (with J. Z. Goncalves)
• Invariant ideals of abelian group algebras and representations of groups of Lie type (with A. E. Zalesskii)
• Invariant ideals of abelian group algebras under the multiplicative action of a field, I (with A. E. Zalesskii)
• Invariant ideals of abelian group algebras under the multiplicative action of a field, II (with J. M. Osterburg and A. E. Zalesskii)
• Free unit groups in group algebras (with J. Z. Goncalves)
• Twisted group algebras and generalized polynomial identities
• Polycyclic restricted Lie algebras (with V. M. Petrogradsky)
• Trace methods in twisted group rings, II (with J. M. Osterburg)
• Invariant ideals and polynomial forms
• Free unit groups in algebras (with J. Z. Goncalves)
• Invariant ideals of abelian group algebras under the action of simple linear groups
• Finitely generated simple algebras: a question of B. I. Plotkin (with A. I. Lichtman)
• Free products in linear groups
• Embedding free products in the unit group of an integral group ring (with J. Z. Goncalves)
• Filtrations in semisimple rings
• Filtrations in semisimple Lie algebras, I (with Y. Barnea)
• Filtrations in semisimple Lie algebras, II (with Y. Barnea)
• Linear groups and group rings (with J. Z. Goncalves)
• Polynomial and inverse forms
• Prime Lie rings of derivations of commutative rings in characteristic 2 (with Chia-Hsin Liu)
• "Multiplicative Invariant Theory" by Martin Lorenz, (a book review)
• A description of incidence rings of group automata (with A. V. Kelarev)
• Free subgroups in linear groups and group rings
• Finitary actions and invariant ideals
• Involutions and free pairs of bicyclic units in integral group rings (with J. Z. Goncalves)
• Filtrations in semisimple Lie algebras, III
• Multiplicative Jordan decomposition in group rings of 3-groups (with Chia-Hsin Liu)
• Multiplicative Jordan decomposition in group rings of 2,3-groups (with Chia-Hsin Liu)
• Invariant ideals of abelian group algebras under the torus action of a field, I
• Character theory and group rings
• Invariant ideals of abelian group algebras under the torus action of a field, II
• Involutions and free pairs of Bass cyclic units in integral group rings (with J. Z. Goncalves)
• Rewritable groups (with M. I. Elashiry)
• Elementary bialgebra properties of group rings and enveloping rings: An introduction to Hopf algebras
• Multiplicative Jordan decomposition in group rings of 3-groups, II (with Chia-Hsin Liu)
• Multiplicative Jordan decomposition in group rings with a Wedderburn component of degree 3 (with Chia-Hsin Liu)
• Explicit free groups in division rings (with J. Z. Goncalves)
• Involutions and free pairs of bicyclic units in integral group rings of non-nilpotent groups (with J. Z. Goncalves)
• Groups with certain normality conditions (with Chia-Hsin Liu)
• Free groups in normal subgroups of the multiplicative group of a division ring (with J. Z. Goncalves)
• Permutational and rewritable groups
• Free pairs of symmetric elements in normal subgroups of division rings (with J. Z. Goncalves)
• Finite presentation (with L. W. Small)
• On the counterexamples to the unit conjecture for group rings
• Affine Noetherian algebras and extensions of the base field II (with L. W. Small)

Abstracts and PDF files.

In the Forbidden City (1992)

Family in Minnetonka (2006)