Yılmaz Çeven, Zekiye Çiloğlu (2015)
Discussiones Mathematicae - General Algebra and Applications
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In this paper, using the notion of upper sets, we introduced the notions of complicated BE-Algebras and gave some related properties on complicated, self-distributive and commutative BE-algebras. In a self-distributive and complicated BE-algebra, characterizations of ideals are obtained.
Miroslav Kolařík (2008)
Discussiones Mathematicae - General Algebra and Applications
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We consider algebras determined by all normal identities of basic algebras. For such algebras, we present a representation based on a q-lattice, i.e., the normalization of a lattice.
Chia Zargeh (2021)
Communications in Mathematics
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In this paper we introduce the notion of existentially closed Leibniz algebras. Then we use HNN-extensions of Leibniz algebras in order to prove an embedding theorem.
Juhani Nieminen (1978)
Colloquium Mathematicae
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J. Jakubík (1969)
Colloquium Mathematicae
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Jorma Arhippainen, Jukka Kauppi (2013)
Studia Mathematica
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We develop the theory of Segal algebras of commutative C*-algebras, with an emphasis on the functional representation. Our main results extend the Gelfand-Naimark Theorem. As an application, we describe faithful principal ideals of C*-algebras. A key ingredient in our approach is the use of Nachbin algebras to generalize the Gelfand representation theory.
Karl Heinrich Hofmann, Francisco Javier Thayer
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CONTENTSIntroduction........................................................................................................................... 51. Finite-dimensional C*-algebras.................................................................................. 8 The objects...................................................................................................................... 8 The morphisms.................................................................................................................
Sterling K. Berberian (1983)
Mathematische Zeitschrift
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Tahsin Oner, Ibrahim Senturk (2017)
Open Mathematics
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In this study, a term operation Sheffer stroke is presented in a given basic algebra 𝒜 and the properties of the Sheffer stroke reduct of 𝒜 are examined. In addition, we qualify such Sheffer stroke basic algebras. Finally, we construct a bridge between Sheffer stroke basic algebras and Boolean algebras.
Mati Abel, Krzysztof Jarosz (2005)
Banach Center Publications
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We characterize unital topological algebras in which all maximal two-sided ideals are closed.
C.M. Edwards, G.T. Rüttimann (1991)
Mathematische Annalen
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Flávio U. Coelho, José A. de la Peña, Sonia Trepode (2008)
Colloquium Mathematicae
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A minimal non-tilted triangular algebra such that any proper semiconvex subcategory is tilted is called a tilt-semicritical algebra. We study the tilt-semicritical algebras which are quasitilted or one-point extensions of tilted algebras of tame hereditary type. We establish inductive procedures to decide whether or not a given strongly simply connected algebra is tilted.
Melahat Almus, David P. Blecher, Charles John Read (2012)
Studia Mathematica
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This paper may be viewed as having two aims. First, we continue our study of algebras of operators on a Hilbert space which have a contractive approximate identity, this time from a more Banach-algebraic point of view. Namely, we mainly investigate topics concerned with the ideal structure, and hereditary subalgebras (or HSA's, which are in some sense a generalization of ideals). Second, we study properties of operator algebras which are hereditary subalgebras in their bidual, or equivalently...
R.J. Archbold, W.B. Somerset (1993)
Mathematica Scandinavica
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Brian A. Davey (1982)
Colloquium Mathematicae
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Ferdinand Beckhoff (1991)
Studia Mathematica
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If A is a normed power-associative complex algebra such that the selfadjoint part is normally ordered with respect to some order, then the Korovkin closure (see the introduction for definitions) of T ∪ {t* ∘ t| t ∈ T} contains J*(T) for any subset T of A. This can be applied to C*-algebras, minimal norm ideals on a Hilbert space, and to H*-algebras. For bounded H*-algebras and dual C*-algebras there is even equality. This answers a question posed in [1].
J. Słomiński
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CONTENTSINTRODUCTION...................................................................................................................................................................... 31. TERMS NOTATION AND LEMMAS.................................................................................................................................. 4A. Quasi-algebras and algebras..........................................................................................................................................................................