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1. |
Record Nr. |
UNISA990001941420203316 |
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Autore |
SLICHER VAN BATH, B. H. |
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Titolo |
The Agrarian History of Western Europe / B. H. Slicher van Bath |
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Pubbl/distr/stampa |
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Descrizione fisica |
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Collocazione |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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2. |
Record Nr. |
UNINA9910551736103321 |
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Autore |
Masi, Felice |
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Titolo |
L'arte della misura : contributi su fenomenologia e conoscenza naturale / Felice Masi |
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ISBN |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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3. |
Record Nr. |
UNINA9911047811103321 |
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Autore |
Lee Gregory T |
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Titolo |
Group Identities on Units and Symmetric Units of Group Rings / / by Gregory T. Lee |
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Pubbl/distr/stampa |
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Cham : , : Springer Nature Switzerland : , : Imprint : Springer, , 2025 |
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ISBN |
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9783032046208 |
9783032046192 |
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Edizione |
[2nd ed. 2025.] |
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Descrizione fisica |
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1 online resource (486 pages) |
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Collana |
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Algebra and Applications, , 2192-2950 ; ; 33 |
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Disciplina |
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Soggetti |
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Group theory |
Associative rings |
Associative algebras |
Group Theory and Generalizations |
Associative Rings and Algebras |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Nota di contenuto |
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Group Identities on Units of Group Rings -- Group Identities on Symmetric Units -- Lie Identities on Symmetric Elements -- Nilpotence of and. |
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Sommario/riassunto |
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This book presents the results for arbitrary group identities, as well as the conditions under which the unit group or the set of symmetric units satisfies several particular group identities of interest. Let FG be the group ring of a group G over a field F. Write U(FG) for the group of units of FG. It is an important problem to determine the conditions under which U(FG) satisfies a group identity. In the mid-1990s, a conjecture of Hartley was verified, namely, if U(FG) satisfies a group identity, and G is torsion, then FG satisfies a polynomial identity. Necessary and sufficient conditions for U(FG) to satisfy a group identity soon followed. Since the late 1990s, many papers have been devoted to the study of the symmetric units; that is, those units u satisfying u* = u, where * is the involution on FG defined by sending each element of G to its inverse. The conditions under which these symmetric units satisfy a group identity have now been determined. |
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