Search Results - "Charkani, M. E."
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On the integral ideals of R[X] when R is a special principal ideal ring
Published in São Paulo Journal of Mathematical Sciences (01-12-2020)“…Let ( R , π R , k , e ) be a commutative special principal ideal ring (SPIR), where R is its maximal ideal, k its residual field and e the index of nilpotency…”
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ON DEDEKIND'S CRITERION AND MONOGENICITY OVER DEDEKIND RINGS
Published in International Journal of Mathematics and Mathematical Sciences (2003)“…We give a practical criterion characterizing the monogenicity of the integral closure of a Dedekind ring R, based on results on the resultant Res (p,pi) of the…”
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MODULAR REPRESENTATIONS OF LOEWY LENGTH TWO
Published in International Journal of Mathematics and Mathematical Sciences (2003)“…Let G be a finite p ‐group, K a field of characteristic p , and J the radical of the group algebra K [ G ]. We study modular representations using some new…”
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Polynomial Index in Dedekind Rings
Published 06-10-2018“…Let $R$ be a Dedekind ring, $\mathfrak{p}$ a nonzero prime ideal of $R$, $P\in R[X]$ a monic irreducible polynomial, and $K$ the quotient field of $R$. We give…”
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On Dedekind′s criterion and monogenicity over Dedekind rings
Published in International journal of mathematics and mathematical sciences (01-01-2003)“…We give a practical criterion characterizing the monogenicity of the integral closure of a Dedekind ring R , based on results on the resultant Res ( p , p i )…”
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Journal Article