Displaying similar documents to “The freeness of ideal subarrangements of Weyl arrangements”

Supersolvable orders and inductively free arrangements

Ruimei Gao, Xiupeng Cui, Zhe Li (2017)

Open Mathematics

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In this paper, we define the supersolvable order of hyperplanes in a supersolvable arrangement, and obtain a class of inductively free arrangements according to this order. Our main results improve the conclusion that every supersolvable arrangement is inductively free. In addition, we assert that the inductively free arrangement with the required induction table is supersolvable.

Positive Implicative Soju Ideals in BCK-Algebras

Xiao Long Xin, Rajab Ali Borzooei, Young Bae Jun (2019)

Bulletin of the Section of Logic

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The notion of positive implicative soju ideal in BCK-algebra is introduced, and several properties are investigated. Relations between soju ideal and positive implicative soju ideal are considered, and characterizations of positive implicative soju ideal are established. Finally, extension property for positive implicative soju ideal is constructed.

Freeness of hyperplane arrangements and related topics

Masahiko Yoshinaga (2014)

Annales de la faculté des sciences de Toulouse Mathématiques

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These are the expanded notes of the lecture by the author in “Arrangements in Pyrénées”, June 2012. We are discussing relations of freeness and splitting problems of vector bundles, several techniques proving freeness of hyperplane arrangements, K. Saito’s theory of primitive derivations for Coxeter arrangements, their application to combinatorial problems and related conjectures.