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An ideal-based zero-divisor graph of direct products of commutative rings

S. Ebrahimi Atani, M. Shajari Kohan, Z. Ebrahimi Sarvandi (2014)

Discussiones Mathematicae - General Algebra and Applications

In this paper, specifically, we look at the preservation of the diameter and girth of the zero-divisor graph with respect to an ideal of a commutative ring when extending to a finite direct product of commutative rings.

An invariant for difference field extensions

Zoé Chatzidakis, Ehud Hrushovski (2012)

Annales de la faculté des sciences de Toulouse Mathématiques

In this paper we introduce a new invariant for extensions of difference fields, the distant degree, and discuss its properties.

An ultrametric Nevanlinna’s second main theorem for small functions of a special type

Henna Jurvanen (2010)

Annales mathématiques Blaise Pascal

In ultrametric Nevanlinna theory, the Nevanlinna’s second main theorem for small functions has only been proved in the case of at most three small functions. In this paper, we prove a second main theorem for q small functions of a special type when the residue characteristic of the field is zero.

Analyse p -adique

Yvette Amice (1959/1960)

Séminaire Delange-Pisot-Poitou. Théorie des nombres

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