Search Results - "Passman, D"

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  1. 1

    Elementary Bialgebra Properties of Group Rings and Enveloping Rings: An Introduction to Hopf Algebras by Passman, D. S.

    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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  2. 2

    Groups with Certain Normality Conditions by Liu, Chia-Hsin, Passman, D. S.

    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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  3. 3

    Multiplicative Jordan Decomposition in Group Rings of 3-Groups, II by Liu, Chia-Hsin, Passman, D. S.

    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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  4. 4

    Explicit free groups in division rings by Gonçalves, J. Z., Passman, D. S.

    “…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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  5. 5

    Filtrations in semisimple Lie algebras, II by Barnea, Y., Passman, D. S.

    “…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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    Noetherian down-up algebras by Kirkman, Ellen, Musson, Ian M., Passman, D. S.

    “…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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  9. 9

    Filtrations in semisimple rings by Passman, D. S.

    “…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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  10. 10

    Filtrations in semisimple Lie algebras, I by Barnea, Y., Passman, D. S.

    “…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. 11

    Free products in linear groups by Passman, D. S.

    “…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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  12. 12

    Affine Noetherian algebras and extensions of the base field II by Passman, D. S., Small, L. W.

    “…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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  13. 13

    Group algebras whose units satisfy a group identity. II by Passman, D. S.

    “…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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  14. 14

    Invariant ideals and polynomial forms by Passman, D. S.

    “…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. 15

    Trace methods in twisted group algebras by Passman, D. S.

    “…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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  16. 16

    Invariant ideals of abelian group algebras under the multiplicative action of a field. I by Passman, D. S., Zalesskiǐ, A. E.

    “…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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  17. 17

    Unitary units in group algebras by Gonçalves, J. Z., Passman, D. S.

    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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  18. 18

    Finitely generated simple algebras: A question of B. I. Plotkin by Lichtman, A. I., Passman, D. S.

    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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  19. 19

    Invariant ideals of abelian group algebras under the multiplicative action of a field. II by Osterburg, J. M., Passman, D. S., Zalesskiǐ, A. E.

    “…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 by Liu, Chia-Hsin, Passman, D. S.

    “…We classify group algebras of torsion groups over a field of characteristic p>0 with units satisfying a group identity…”
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