Pseudo-symmetric numerical semigroups with three generators
نویسندگان
چکیده
منابع مشابه
On Symmetric Numerical Semigroups
A numerical semigroup is a subset S of N such that is closed under sums, contains the zero and generates Z as a group. From this definition Ž w x. Ž one obtains see, for example, 2 that S has a conductor C i.e., the . maximum among all the natural numbers not belonging to S . A numerical semigroup S is called symmetric if for every integer z f S, C y z g S. The study of the subsemigroups of N i...
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We give a simple explanation of numerical experiments of V. Arnold with two sequences of symmetric numerical semigroups, S(4, 6 + 4k, 87− 4k) and S(9, 3 + 9k, 85− 9k) generated by three elements. We present a generalization of these sequences by numerical semigroups S(r 1 , r1r2 + r 2 1k, r3 − r 2 1k), k ∈ Z, r1, r2, r3 ∈ Z , r1 ≥ 2 and gcd(r1, r2) = gcd(r1, r3) = 1, and calculate their univers...
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ژورنال
عنوان ژورنال: Journal of Algebra
سال: 2005
ISSN: 0021-8693
DOI: 10.1016/j.jalgebra.2005.06.005