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Joanna Kaleta (2004)
Discussiones Mathematicae - General Algebra and Applications
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This paper presents some manner of characterization of Boolean rings. These algebraic systems one can also characterize by means of some distributivities satisfied in GBbi-QRs.
Ю.Л. Ершов (1992)
Algebra i Logika
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I. Sussman (1958)
Mathematische Annalen
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Saworotnow, Parfeny P. (1995)
International Journal of Mathematics and Mathematical Sciences
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Saworotnow, Parfeny P. (1993)
International Journal of Mathematics and Mathematical Sciences
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Dinesh Udar, R.K. Sharma, J.B. Srivastava (2017)
Archivum Mathematicum
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In this paper we study restricted Boolean rings and group rings. A ring is if every proper homomorphic image of is boolean. Our main aim is to characterize restricted Boolean group rings. A complete characterization of non-prime restricted Boolean group rings has been obtained. Also in case of prime group rings necessary conditions have been obtained for a group ring to be restricted Boolean. A counterexample is given to show that these conditions are not sufficient.
B. Węglorz (1974)
Fundamenta Mathematicae
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Maurer, I.Gy., Szigeti, J. (1990)
Mathematica Pannonica
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A. Kościelski (1973)
Colloquium Mathematicae
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Torleiv Klove (1973)
Mathematica Scandinavica
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Mihai Popa (2009)
Colloquium Mathematicae
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The paper presents several combinatorial properties of the boolean cumulants. A consequence is a new proof of the multiplicative property of the boolean cumulant series that can be easily adapted to the case of boolean independence with amalgamation over an algebra.
L. Szczerba (1973)
Fundamenta Mathematicae
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