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Independence on Quasi-Bigraduations
of Rings and Analytic Spread



Eugène Deval Béché, Youssouf M. DIAGANA
and Pierre K. BROU

Université Nangui Abrogoua, UFR-SFA
Laboratoire Mathématiques-Informatique
02 BP 801 Abidjan 02 Abidjan, Côte d'Ivoire




Mathematics Subject Classification: (2010) 13A02, 13A15, 13A30, 13B25, 13F20
Key words: Quasi-bigraduations, analytic spread

Abstract:


When f = (I(m,n))(m,n)(ℤ2)∪{∞} is a +quasi-bigraduation on a ring R, an f+-quasi-bigraduation of an R-module M is a family  g = (G(m,n)) of subgroups of M such that G = (0) and I(m,n)G(p,q) G(m+p,n+q), for all (m,n) and (p,q) (ℕ× ℕ) ∪{∞}.

We give comparisons of several extensions of analytic spread for compatible +quasi-bigraduations on a ring in term of generalized independences.

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