منابع مشابه
Omega-almost Boolean rings
In this paper the concept of an $Omega$- Almost Boolean ring is introduced and illistrated how a sheaf of algebras can be constructed from an $Omega$- Almost Boolean ring over a locally Boolean space.
متن کاملomega-almost boolean rings
in this paper the concept of an $omega$- almost boolean ring is introduced and illistrated how a sheaf of algebras can be constructed from an $omega$- almost boolean ring over a locally boolean space.
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We introduce the family of R-based proto-Boolean rings associated with an arbitrary commutative ring R. They generalize the protoBoolean algebra devised by Brown [4] as a tool for expressing in modern language Boole’s research in The Laws of Thought. In fact the algebraic results from [4] are recaptured within the framework of proto-Boolean rings, along with other theorems. The free Boolean alg...
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In this paper we consider the problem of routing messages in a network of processors conngured as a chordal ring. In particular we refer to the Boolean Routing model, and we introduce a new routing function for unidirectional and bidirectional chordal rings with degree four. This function requires O(n log n) bits of storage and O(n) time to compute, in the worst case. We also study some relatio...
متن کاملA Generalization of Boolean Rings
A Boolean ring satisfies the identity x2 = x which, of course, implies the identity x2y − xy2 = 0. With this as motivation, we define a subBoolean ring to be a ring R which satisfies the condition that x2y−xy2 is nilpotent for certain elements x, y of R. We consider some conditions which imply that the subBoolean ring R is commutative or has a nil commutator ideal. Mathematics Subject Classific...
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ژورنال
عنوان ژورنال: Archivum Mathematicum
سال: 2017
ISSN: 0044-8753,1212-5059
DOI: 10.5817/am2017-3-155