The Formulas of the General Reproductive Solution of an Equation in Boolean Ring with Unit
Dragić Banković (1987)
Publications de l'Institut Mathématique
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Dragić Banković (1987)
Publications de l'Institut Mathématique
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P. Jedlička (2012)
Acta Universitatis Carolinae. Mathematica et Physica
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Maurer, I.Gy., Szigeti, J. (1990)
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Hansen, D.J., Luh, Jiang, Ye, Youpei (1994)
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Carlton Maxson (1976)
Fundamenta Mathematicae
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Alexander Abian (1972)
Czechoslovak Mathematical Journal
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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.
Saworotnow, Parfeny P. (1995)
International Journal of Mathematics and Mathematical Sciences
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José Ríos Montes (1988)
Publicacions Matemàtiques
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Let R be an associative ring with 1 and R-tors the somplete Brouwerian lattice of all hereditary torsion theories on the category of left R-modules. A well known result asserts that R is a left semiartinian ring iff R-tors is a complete atomic Boolean lattice. In this note we prove that if L is a complete atomic Boolean lattice then there exists a left semiartinian ring R such that L is lattice-isomorphic to R-tors.