Results on the normality of square-free monomial ideals and cover ideals under some graph operations

• In this paper, we introduce techniques for producing normal square-free monomial ideals fromold such ideals. These techniques are then used to investigate the normality of cover ideals undersome graph operations. Square-free monomial ideals that come out as linear combinations of twonormal ideals are shown to be not necessarily normal; under such a case we investigate the integralclosedness of all powers of these ideals.

Subject headings

NATURVETENSKAP  -- Matematik -- Algebra och logik (hsv//swe)

NATURAL SCIENCES  -- Mathematics -- Algebra and Logic (hsv//eng)

Keyword

General Mathematics

Mathematics

Matematik

Publication and Content Type

ref (subject category)

art (subject category)