Search Results - "Passman, D"
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Elementary Bialgebra Properties of Group Rings and Enveloping Rings: An Introduction to Hopf Algebras
Published in Communications in algebra (04-05-2014)“…This is a slight extension of an expository paper I wrote a while ago as a supplement to my joint work with Declan Quinn on Burnside's theorem for Hopf…”
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Groups with Certain Normality Conditions
Published in Communications in algebra (02-08-2016)“…We classify two types of finite groups with certain normality conditions, namely SSN groups and groups with all noncyclic subgroups normal. These conditions…”
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Multiplicative Jordan Decomposition in Group Rings of 3-Groups, II
Published in Communications in algebra (03-06-2014)“…In this paper, we complete the classification of those finite 3-groups G whose integral group rings have the multiplicative Jordan decomposition property. If G…”
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Explicit free groups in division rings
Published in Proceedings of the American Mathematical Society (01-02-2015)“…Let D be a division ring of characteristic ≠ 2 and suppose that the multiplicative group D• = D \ {0} has a subgroup G isomorphic to the Heisenberg group. Then…”
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Filtrations in semisimple Lie algebras, II
Published in Transactions of the American Mathematical Society (01-02-2008)“…In this paper, we continue our study of the maximal bounded \mathbb{Z}-filtrations of a complex semisimple Lie algebra L. Specifically, we discuss the…”
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Involutions and free pairs of bicyclic units in integral group rings of non-nilpotent groups
Published in Proceedings of the American Mathematical Society (01-06-2015)“…contains a free bicyclic pair.]]>…”
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Noetherian down-up algebras
Published in Proceedings of the American Mathematical Society (01-11-1999)“…Down-up algebras A= A(\alpha ,\beta ,\gamma ) were introduced by G. Benkart and T. Roby to better understand the structure of certain posets. In this paper, we…”
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Ottawa ankle rule in predicting severity of acute ankle ligament injury
Published in Injury extra (01-12-2010)Get full text
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Filtrations in semisimple rings
Published in Transactions of the American Mathematical Society (01-12-2005)“…In this paper, we describe the maximal bounded \mathbb{Z}-filtrations of Artinian semisimple rings. These turn out to be the filtrations associated to finite…”
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Filtrations in semisimple Lie algebras, I
Published in Transactions of the American Mathematical Society (01-05-2006)“…In this paper, we study the maximal bounded \mathbb{Z}-filtrations of a complex semisimple Lie algebra L. Specifically, we show that if L is simple of…”
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11
Free products in linear groups
Published in Proceedings of the American Mathematical Society (01-01-2004)“…Let R be a commutative integral domain of characteristic 0, and let G be a finite subgroup of \mathrm{PGL}_n(R), the projective general linear group of degree…”
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Affine Noetherian algebras and extensions of the base field II
Published in The Bulletin of the London Mathematical Society (01-10-2023)“…The paper written many years ago by Resco and Small, constructed an example in prime characteristic of a finitely generated Noetherian K$K$‐algebra that does…”
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Group algebras whose units satisfy a group identity. II
Published in Proceedings of the American Mathematical Society (01-03-1997)“…Let K[G] be the group algebra of a torsion group G over an infinite field K, and let U=U(G) denote its group of units. A recent paper of A. Giambruno, S. K…”
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Invariant ideals and polynomial forms
Published in Transactions of the American Mathematical Society (01-08-2002)“…Let K[\mathfrak H] denote the group algebra of an infinite locally finite group \mathfrak H. In recent years, the lattice of ideals of K[\mathfrak H] has been…”
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15
Trace methods in twisted group algebras
Published in Proceedings of the American Mathematical Society (01-04-2001)“…In this brief note, we discuss trace methods in twisted group algebras. Specifically, we obtain information on the trace of idempotent and nilpotent elements…”
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Invariant ideals of abelian group algebras under the multiplicative action of a field. I
Published in Proceedings of the American Mathematical Society (01-04-2002)“…Let D be a division ring and let V=D^n be a finite-dimensional D-vector space, viewed multiplicatively. If G=D^\bullet is the multiplicative group of D, then G…”
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Unitary units in group algebras
Published in Israel journal of mathematics (01-01-2001)“…LetK[G] denote the group algebra of the finite groupG over the non-absolute fieldK of characteristic ≠ 2, and let *:K[G] →K[G] be theK-involution determined…”
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Finitely generated simple algebras: A question of B. I. Plotkin
Published in Israel journal of mathematics (01-01-2004)“…In his recent series of lectures, Prof. B. I. Plotkin discussed geometrical properties of the variety of associativeK-algebras. In particular, he studied…”
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Invariant ideals of abelian group algebras under the multiplicative action of a field. II
Published in Proceedings of the American Mathematical Society (01-04-2002)“…Let D be a division ring and let V=D^n be a finite-dimensional right D-vector space, viewed multiplicatively. If G=D^\bullet is the multiplicative group of D,…”
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Group algebras with units satisfying a group identity II
Published in Proceedings of the American Mathematical Society (01-02-1999)“…We classify group algebras of torsion groups over a field of characteristic p>0 with units satisfying a group identity…”
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