Displaying similar documents to “Generalized functions on adeles. Linear and non-linear theories”

Structure of the Unit Group of FD10

Khan, Manju (2009)

Serdica Mathematical Journal

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2000 Mathematics Subject Classification: 16U60, 20C05. The structure of the unit group of the group algebra FD10 of the dihedral group D10 of order 10 over a finite field F has been obtained. Supported by National Board of Higher Mathematics, DAE, India.

Isometries between groups of invertible elements in C*-algebras

Osamu Hatori, Keiichi Watanabe (2012)

Studia Mathematica

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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.

A Priddy-type Koszulness criterion for non-locally finite algebras

Maurizio Brunetti, Adriana Ciampella (2007)

Colloquium Mathematicae

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A celebrated result by S. Priddy states the Koszulness of any locally finite homogeneous PBW-algebra, i.e. a homogeneous graded algebra having a Poincaré-Birkhoff-Witt basis. We find sufficient conditions for a non-locally finite homogeneous PBW-algebra to be Koszul, which allows us to completely determine the cohomology of the universal Steenrod algebra at any prime.

A review on δ-structurable algebras

Noriaki Kamiya, Daniel Mondoc, Susumu Okubo (2011)

Banach Center Publications

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In this paper we give a review on δ-structurable algebras. A connection between Malcev algebras and a generalization of δ-structurable algebras is also given.

Involutions on the second duals of group algebras versus subamenable groups

Ajit Iqbal Singh (2011)

Studia Mathematica

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Let L¹(G)** be the second dual of the group algebra L¹(G) of a locally compact group G. We study the question of involutions on L¹(G)**. A new class of subamenable groups is introduced which is universal for all groups. There is no involution on L¹(G)** for a subamenable group G.

Universal Enveloping Algebras of Nonassociative Structures

Tvalavadze, Marina (2012)

Serdica Mathematical Journal

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2010 Mathematics Subject Classification: Primary 17D15. Secondary 17D05, 17B35, 17A99. This is a survey paper to summarize the latest results on the universal enveloping algebras of Malcev algebras, triple systems and Leibniz n-ary algebras.

The p-semisimple property for some generalizations of BCI algebras and its applications

Lidia Obojska, Andrzej Walendziak (2020)

Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica

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This paper presents some generalizations of BCI algebras (the RM, tRM, *RM, RM**, *RM**, aRM**, *aRM**, BCH**, BZ, pre-BZ and pre-BCI algebras). We investigate the p-semisimple property for algebras mentioned above; give some examples and display various conditions equivalent to p-semisimplicity. Finally, we present a model of mereology without antisymmetry (NAM) which could represent a tRM algebra.