[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/JKMS.j210007

SYMMETRIC AND PSEUDO-SYMMETRIC NUMERICAL SEMIGROUPS VIA YOUNG DIAGRAMS AND THEIR SEMIGROUP RINGS

Suer, Meral (Department of Mathematics Faculty of Science and Letters Batman University)
Yesil, Mehmet (Department of Mathematics Faculty of Science and Letters Batman University)

Publication Information

Journal of the Korean Mathematical Society / v.58, no.6, 2021 , pp. 1367-1383 More about this Journal

Abstract

This paper studies Young diagrams of symmetric and pseudo-symmetric numerical semigroups and describes new operations on Young diagrams as well as numerical semigroups. These provide new decompositions of symmetric and pseudo-symmetric semigroups into a numerical semigroup and its dual. It is also given exactly for what kind of numerical semigroup S, the semigroup ring 𝕜⟦S⟧ has at least one Gorenstein subring and has at least one Kunz subring.

Keywords

Symmetric numerical semigroups; pseudo-symmetric numerical semigroups; Young diagrams; semigroup rings;

Citations & Related Records

Reference

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