On a family of saturated numerical semigroups with multiplicity four

被引：1

作者：

Suer, Meral ^{[1
]}

Ilhan, Sedat ^{[2
]}

机构：

[1] Batman Univ, Fac Sci & Letters, Dept Math, Batman, Turkey

[2] Dicle Univ, Dept Math, Fac Sci, Diyarbakir, Turkey

来源：

TURKISH JOURNAL OF MATHEMATICS | 2017年 / 41卷 / 01期

关键词：

Numerical semigroups; saturated numerical semigroups; Arf numerical semigroups; Frobenius number; genus; Apery set;

D O I：

10.3906/mat-1506-96

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this study, we will give some results on Arf numerical semigroups of multiplicity four generated by {4, k, k+1, k + 2} where k is an integer not less than 5 and k equivalent to 1(mod 4).

引用

页码：132 / 137

页数：6

共 7 条

[1] Barucci V, 1997, MEM AM MATH SOC, V598, P13
[2] DAnna M, 1998, SEMIGROUP FORUM, V56, P1
[3] Numerical semigroups with multiplicity three and four
Rosales, JC
[J]. SEMIGROUP FORUM, 2005, 71 (02) : 323 - 331
[4] Rosales JC, 2009, DEV MATH, V20, P1, DOI 10.1007/978-1-4419-0160-6
[5] Numerical semigroups with Apery sets of unique expression
Rosales, JC
[J]. JOURNAL OF ALGEBRA, 2000, 226 (01) : 479 - 487
[6] Principal ideals of numerical semigroups
Rosales, JC
[J]. BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN, 2003, 10 (03) : 329 - 343
[7] Numerical semigroups that can be expressed as an intersection of symmetric numerical semigroups
Rosales, JC
Branco, MB
[J]. JOURNAL OF PURE AND APPLIED ALGEBRA, 2002, 171 (2-3) : 303 - 314

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