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數學學科學術報告(施敏加 安徽大學 何濟位 杭州師范大學 鮑炎紅 安徽大學 趙志兵 安徽大學)

發布者:段玉玲   發布時間:2019-01-15  瀏覽次數:13

數學系系列學術報告

時間:2019/1/17  上午8:00-12:00

地點:21-427

All are welcome!

安徽大學數學科學學院施敏加教授學術報告

Title:A relation between quasi-twisted codes and2-D constacyclic codes

Abstract:Quasi-twisted codes are generalizations of the familiar linear quasi-cyclic codes.In thistalk, we apply an algebraic method to investigate the relationshipbetween quasi-twisted codes constacyclic codes. Moreover, a generator polynomial of a quasi-twisted code with constacyclic constituent codes is given.Meanwhile, we obtain the necessary conditions for a quasi-twisted code C ofindex ‘ and length ‘m to be equivalent to a constacyclic code of length ‘m.Finally, some examples are presented to illustrate the discussed results.

  

杭州師范大學數學系何濟位教授學術報告

Title:Noncommutative matrix factorization and quadric surfaces

Abstract:In this talk, I will briefly introduce recent progress in the theory of noncommutative matrix factorations of normal regular elements in Artin-Schelter regular algebras. In particular, I will focus on noncommutative quadrics which are related to Clifford deformations of Koszul Frobenius algebras.

  

安徽大學數學科學學院鮑炎紅副教授學術報告

Title:Trunction of unitary operads

Abstract:In this talk, we will introduce the truncation ideals of a k-linear

unitary symmetric operad and use them to study ideals structure, growth

property and to classify operads of low Gelfand-Kirillow dimension. This work

is joint with Yu Ye and James J. Zhang.

    

安徽大學數學科學學院趙志兵博士學術報告

Title: Some homological invariant properties under Frobenius extensions

Abstract:Frobenius extensionswere firstlyintroduced by Kasch as a generalizationof Frobenius algebra. In this talk, we will show that, for a Frobenius extension, a module over the extensionring is Gorenstein projective if and only if so is its underlying module overthe base ring.For a separable Frobenius extensionbetween Artin algebras, we obtain thatsome homological properties are invariant, including CM-finiteness, CM-freeness and the representation dimension of Artin alebra.

  

 

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