JP Journal of Algebra, Number Theory and Applications
Volume 62, Issue 2, Pages 109 - 122
(November 2023) http://dx.doi.org/10.17654/0972555523024 |
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ON ARF CLOSURE OF SOME SYMMETRIC NUMERICAL SEMIGROUPS WITH MULTIPLICITY p-PRIME
Ahmet Çelik
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Abstract: This work is about symmetric numerical semigroups. The symmetric numerical semigroups are very important in semigroup theory. They play an important role especially in algebraic geometry, coding theory and other areas of algebra. Here, we examine Arf closure of Sq symmetric numerical semigroup, and give some relations between Sq and Arf closure Sq such that where p is a prime number and for
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Keywords and phrases: determine number, symmetric numerical semigroups, Arf closure, gaps.
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