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Abstrakty
We present an extension of the known one-to-one correspondence between Boolean algebras and Boolean rings with unit being two types of Boolean systems endowed with order and algebraic structures, respectively. Two equivalent generalizations of Boolean algebras are discussed. We show that there is a one-to-one correspondence between any of the two mentioned generalized Boolean algebras and Boolean rings without unit.
Czasopismo
Rocznik
Tom
Strony
35--62
Opis fizyczny
Bibliogr. 45 poz.
Twórcy
autor
- Institute of Mathematics, University of Rzeszow, ul. Rejtana 16A, 35-310 Rzeszow, Poland
autor
- Institute of Mathematics, University of Rzeszow, ul. Rejtana 16A, 35-310 Rzeszow, Poland
Bibliografia
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- [35] M. Papčo, On effect algebras, Soft Comput. 12 (2008), 373-379.
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- [45] D. A. Vladimirov, Boolean Algebras, Nauka, Moscow 1969 (in Russian).
Typ dokumentu
Bibliografia
Identyfikator YADDA
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