Maximal elements and symmetry of the semigroup of values of a curve singularity with several branches.
Félix Delgado de la Mata (1986)
Extracta Mathematicae
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Félix Delgado de la Mata (1986)
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Karl-Heinz Kiyek (1982)
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Félix de Delgado de la Manta (1987)
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Václav Flaška, A. Jančařík, Vítězslav Kala, Tomáš Kepka (2007)
Acta Universitatis Carolinae. Mathematica et Physica
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Komeda, Jiryo, Ohbuchi, Akira (2008)
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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.
Valmecir Bayer (1984/85)
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Félix de Delgado de la Manta (1988)
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S. Subbiah, K.D. jr. Magill (1980)
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Keckic, Jovan D. (1981)
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D. Monk, F. Sioson (1966)
Fundamenta Mathematicae
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T. Niedbalska (1978)
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P. A. Meyer (1982)
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S. Lajos (1965)
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Mridul K. Sen, Sumanta Chattopadhyay (2008)
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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.