### Polynomial Ring in Two Variables Over a D.V.R.: A Criterion.

A. Sathaye (1983)

Inventiones mathematicae

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A. Sathaye (1983)

Inventiones mathematicae

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Al-Ezeh, H. (1988)

International Journal of Mathematics and Mathematical Sciences

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Putcha, Mohan S., Yaqub, Adil (1981)

Portugaliae mathematica

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Noboru Endou, Kazuhisa Nakasho, Yasunari Shidama (2015)

Formalized Mathematics

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In this article, semiring and semialgebra of sets are formalized so as to construct a measure of a given set in the next step. Although a semiring of sets has already been formalized in [13], that is, strictly speaking, a definition of a quasi semiring of sets suggested in the last few decades [15]. We adopt a classical definition of a semiring of sets here to avoid such a confusion. Ring of sets and algebra of sets have been formalized as non empty preboolean set [23] and field of subsets...

Putcha, Mohan.S., Yaqub, Adil (1979)

International Journal of Mathematics and Mathematical Sciences

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Yau, Donald (2004)

International Journal of Mathematics and Mathematical Sciences

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Michael Gr. Voskoglou (2004)

Acta Mathematica Universitatis Ostraviensis

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David L. Wehlau (1994)

Manuscripta mathematica

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Sanghare, Mamadou (1997)

International Journal of Mathematics and Mathematical Sciences

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W. Kierat (1967)

Studia Mathematica

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Robert Gilmer, William Heinzer (1994)

Manuscripta mathematica

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M. Ghadermazi, O. A. S. Karamzadeh, M. Namdari (2013)

Rendiconti del Seminario Matematico della Università di Padova

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B. Gleichgewicht (1960)

Fundamenta Mathematicae

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