Exchange of independent sets in abstract algebras I
Andrzej Hulanicki, Edward Marczewski, Jan Mycielski (1966)
Colloquium Mathematicum
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Displaying similar documents to “Exchange of independent sets in abstract algebras. II”
Exchange of independent sets in abstract algebras I
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Exchange of independent sets in abstract algebras (III)
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Complex group algebras of finite groups: Brauer's problem 1.
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J. Płonka (1966)
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On a new notion of independence in universal algebras
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Isometries between groups of invertible elements in C*-algebras
Osamu Hatori, Keiichi Watanabe (2012)
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We describe all surjective isometries between open subgroups of the groups of invertible elements in unital C*-algebras. As a consequence the two C*-algebras are Jordan *-isomorphic if and only if the groups of invertible elements in those C*-algebras are isometric as metric spaces.
Maximal indexes of Tits algebras.
Merkurjev, A.S. (1996)
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A homomorphism theorem for partial algebras
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Structure of the unit group of the group algebras of non-metabelian groups of order 128
Navamanirajan Abhilash, Elumalai Nandakumar, Rajendra K. Sharma, Gaurav Mittal (2025)
Mathematica Bohemica
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We characterize the unit group for the group algebras of non-metabelian groups of order 128 over the finite fields whose characteristic does not divide the order of the group. Up to isomorphism, there are 2328 groups of order 128 and only 14 of them are non-metabelian. We determine the Wedderburn decomposition of the group algebras of these non-metabelian groups and subsequently characterize their unit groups.