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Title of Journal: Soft Comput

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Abbravation: Soft Computing

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Springer-Verlag

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10.1016/0022-2828(79)90298-0

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1433-7479

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Sheaf representations of BLalgebras

Authors: L Leuştean
Publish Date: 2005/05/31
Volume: 9, Issue: 12, Pages: 897-909
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Abstract

In this paper we present a survey on sheaf representations of BLalgebras based on our PhD thesis 36 We define sheaf spaces and sheaf representations of BLalgebras we study completely regular and compact sheaf spaces of BLalgebras compact representations of BLalgebras and we develop a Gelfand theory for BLalgebras Thus we prove that the category of nontrivial BLalgebras is equivalent to the category of compact local sheaf spaces of BLalgebras The last section of our paper is a contribution to the representation theory of BLalgebras by weak Boolean products We characterize the weak Boolean products of BLchains the weak Boolean products of local BLalgebras and the weak Boolean products of perfect BLalgebras

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