Displaying similar documents to “The semigroup of values of acurve singularity with several branches.”

Weierstrass Points with First Non-Gap Four on a Double Covering of a Hyperelliptic Curve II

Komeda, Jiryo, Ohbuchi, Akira (2008)

Serdica Mathematical Journal

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2000 Mathematics Subject Classification: Primary 14H55; Secondary 14H30, 14J26. A 4-semigroup means a numerical semigroup whose minimum positive integer is 4. In [7] we showed that a 4-semigroup with some conditions is the Weierstrass semigroup of a ramification point on a double covering of a hyperelliptic curve. In this paper we prove that the above statement holds for every 4-semigroup.

Wreath product of a semigroup and a Γ-semigroup

Mridul K. Sen, Sumanta Chattopadhyay (2008)

Discussiones Mathematicae - General Algebra and Applications

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Let S = {a,b,c,...} and Γ = {α,β,γ,...} be two nonempty sets. S is called a Γ -semigroup if aαb ∈ S, for all α ∈ Γ and a,b ∈ S and (aαb)βc = aα(bβc), for all a,b,c ∈ S and for all α,β ∈ Γ. In this paper we study the semidirect product of a semigroup and a Γ-semigroup. We also introduce the notion of wreath product of a semigroup and a Γ-semigroup and investigate some interesting properties of this product.