On Indecomposable Ideals Over Some Algebras

被引：0

作者：

Alessandro Ardizzoni

Fabio Stumbo

机构：

[1] University of Turin,Department of Mathematics “G. Peano”

[2] University of Ferrara,Department of Mathematics and Computer Science

来源：

Algebras and Representation Theory | 2020年 / 23卷

关键词：

Cyclic codes; Monomial bilinear forms; Indecomposable ideals; Orthogonals; Hopf algebras; Primary 16T05; Secondary 15A63, 94B15, 94B05;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In this paper we investigate a family of algebras endowed with a suitable non-degenerate bilinear form that can be used to define two different notions of dual for a given right ideal. We apply our results to the classification of the right ideals and their duals in the cyclic group algebra, in the Taft algebra and in another example of Hopf algebra arising as bosonization.

引用

页码：1443 / 1466

页数：23

共 13 条

[1]

Călinescu C(2004)Quantum lines over non-cocommutative cosemisimple Hopf algebras J. Algebra 273 753-779

[2]

Dăscălescu S(2011)Determining all indecomposable codes over some Hopf algebras J. Comput. Appl. Math. 235 1833-1839

[3]

Masuoka A(2014)The green rings of Taft algebras Proc. Amer. Math. Soc. 142 765-775

[4]

Menini C(1988)Finite-dimensional cosemisimple Hopf algebras in characteristic 0 are semisimple J. Algebra 117 267-289

[5]

Cuadra J(1999)Duality for modules over finite rings and applications to coding theory Amer. J. Math. 121 555-575

[6]

García-Rubira JM(undefined)undefined undefined undefined undefined-undefined

[7]

López-Ramos JA(undefined)undefined undefined undefined undefined-undefined

[8]

Chen H(undefined)undefined undefined undefined undefined-undefined

[9]

Van Oystaeyen F(undefined)undefined undefined undefined undefined-undefined

[10]

Zhang Y(undefined)undefined undefined undefined undefined-undefined

← 1 2 →