Results 11 to 20 of about 5,631 (197)
Linear maps on real C* - algebras and related structures [PDF]
, 2010 PhDIn this thesis we obtain new results on the structures of real C*-algebras and nonsurjective isometries between them. Some of the results have been published in [1].
Apazoglou, Maria
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Centralisers on rings and algebras [PDF]
Bulletin of the Australian Mathematical Society, 2005 In this paper we investigate identities related to centralisers in rings and algebras. We prove, for example, the following result. LetAbe a semisimpleH*-algebra and letT:A→Abe an additive mapping satisfying the relationT(xm+n+1) =xmT(x)xnfor allx∈Aand some integersm≥ 1,n≥ 1. In this caseTis a left and a right centraliser.
Vukman, Joso, Kosi-Ulbl, Irena
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On the algebraic closure in rings [PDF]
Proceedings of the American Mathematical Society, 2007 Soit \(A\) un anneau unifère et \(A^{-1}\) le groupe de ses éléments inversibles. On désigne par \(d(K)\) la clôture algébrique d'une partie \(K\) de \(A\) l'ensemble des éléments \(a\) de \(A\) tels que, pour tout élément \(b\) de \(A\) il existe un élément \(a'\) de \(K\) tel que \(1-b(a-a')\) appartienne à \(A^{-1}\). Les AA.
Cvetkovic-Ilic, Dragana, Harte, Robin
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SMARANDACHE NON-ASSOCIATIVE RINGS [PDF]
, 2002 An associative ring is just realized or built using reals or complex; finite or infinite by defining two binary operations on it. But on the contrary when we want to define or study or even introduce a non-associative ring we need two separate algebraic ...
Vasantha, Kandasamy
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Discrete Mathematics, 1974 AbstractStudies of various algebraic structures which can be defined over a Boolean algebra by means of Boolean operations have been made by Bernstein [1, 2], Cunkle [3], Elliott [4], Frink [6, 7], Grätzer [8], Grätzer and Schmidt [9], Rudeanu [10, 11], Vaidyanathaswamy [12], Wiener [13], and others.
C. H. Cunkle, Sergiu Rudeanu
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Operads and Γ-homology of commutative rings [PDF]
, 2002 We introduce Γ-homology, the natural homology theory for E[infty infinity]-algebras, and a cyclic version of it. Γ-homology specializes to a new homology theory for discrete commutative rings, very different in general from André–Quillen homology.
Robinson, Alan (C. Alan) +1 more
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Lifting Elements in Coherent Quantales [PDF]
Transactions on Fuzzy Sets and Systems, 2022 An ideal I of a ring R is a lifting ideal if the idempotents of R can be lifted modulo I. A rich literature has been dedicated to lifting ideals. Recently, new algebraic and topological results on lifting ideals have been discovered.
George Georgescu
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Properties and examples of FCR-algebras [PDF]
, 2001 An algebra A over a field k is FCR if every finite dimensional representation of A is completely reducible and the intersection of the kernels of these representations is zero.
Kraft, Hanspeter +2 more
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, 1970 The theory of near-rings has arisen in a variety of ways. There is a natural desire to generalise the theory of rings and skew fields by relaxing some of their defining axioms.
Holcombe, William Michael Lloyd
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CC-circuits and the expressive power of nilpotent algebras [PDF]
Logical Methods in Computer Science, 2022 We show that CC-circuits of bounded depth have the same expressive power as circuits over finite nilpotent algebras from congruence modular varieties. We use this result to phrase and discuss a new algebraic version of Barrington, Straubing and Th\'erien'
Michael Kompatscher
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