Results 151 to 160 of about 1,136,955 (184)
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Endodualisable and endoprimal finite double Stone algebras
Algebra Universalis, 1999Miroslav Haviar, H A Priestley
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Injective double Stone algebras
Algebra Universalis, 1974T. Katrinák
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σ-Ideals in weak stone algebras
Communications in AlgebraWe introduce the concept of σ-ideals in weak Stone algebras, and describe the properties of these σ-ideals. We prove that every σ-ideal of a weak Stone Algebras L is a regular ideal and a congruence kernel.
Xiaoqin Shen
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The Quarterly Journal of Mathematics, 1992
Suppose \(A\) is a \(C^*\)-algebra and let \(M(A)\) be its multiplier algebra. A linear mapping \(T\) defined on a dense subspace of \(A\) is said to be affiliated with \(A\), if there exists a multiplier \(z\in M(A)\), \(\| z\|\leq 1\) such that \(T[(1- z^* z)^{{1\over 2}} a]= za\), \(\forall a\in A\). Theorem.
Hollevoet, J. +2 more
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Suppose \(A\) is a \(C^*\)-algebra and let \(M(A)\) be its multiplier algebra. A linear mapping \(T\) defined on a dense subspace of \(A\) is said to be affiliated with \(A\), if there exists a multiplier \(z\in M(A)\), \(\| z\|\leq 1\) such that \(T[(1- z^* z)^{{1\over 2}} a]= za\), \(\forall a\in A\). Theorem.
Hollevoet, J. +2 more
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Affine complete Stone algebras
Acta Mathematica Academiae Scientiarum Hungaricae, 1982R. Beazer
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Essential extensions of stone algebras
Algebra Universalis, 1977A distributive \(p\)-algebra \(\langle L;\cup,\cap,*,0,1\rangle\) (see the review of [the author, Algebra Univers. 7, 265--271 (1977; Zbl 0358.06026)]) is called a Stone algebra if \(L\) satisfies the identity \(x^*\cup x^{**} =1\). In the paper the essential extensions of Stone algebras are characterized, which improves an earlier result of \textit{H.
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2017
We study a generalisation of relation algebras in which the underlying Boolean algebra structure is replaced with a Stone algebra. Many theorems of relation algebras generalise with no or small changes. Weighted graphs represented as matrices over extended real numbers form an instance.
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We study a generalisation of relation algebras in which the underlying Boolean algebra structure is replaced with a Stone algebra. Many theorems of relation algebras generalise with no or small changes. Weighted graphs represented as matrices over extended real numbers form an instance.
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On the Triple Characterization for Stone Algebras
Canadian Journal of Mathematics, 1975In [1], C. C. Chen and G. Grâtzer developed a method for studying Stone algebras by associating with each Stone algebra L, a uniquely determined triple (C(L), D(L), ɸ (L)), consisting of a Boolean algebra C(L), a distributive lattice D(L), and a connecting map ɸ(L).
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De Morgan Algebras with a Quasi-Stone Operator
Studia Logica, 2013In this work, the class of those algebras \((L;^{\circ} ,^{\ast})\) is investigated where \((L;^{\circ})\) is a De Morgan algebra, \((L;^{\ast})\) is a quasi-Stone algebra, and the unary operations \(x\longrightarrow x^{\circ}\) and \(x\longrightarrow x^{\ast}\) satisfy the identity \(x^{\ast\ast\circ}=x^{\ast\circ\ast}\).
T. S. Blyth, Jie Fang, Lei-Bo Wang
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