Hecke symmetries associated with the polynomial algebra in 3 commuting indeterminates

与三不定元扭多项式代数相关的Hecke对称

Hecke symmetries associated with twisted polynomial algebras in 3 indeterminates

本文研究三维向量空间上与扭多项式代数相关的Hecke对称，证明其本身可由关联R-对称代数为普通多项式代数的Hecke对称扭动得到，并据此刻画其等价类。

On An Application Of The Suslin Monic Polynomial Theorem (I)

In this paper our main theorem states the following, Main Theorem : Let B denote the polynomial ring D[x1,.... ,xn] , in the commuting indeterminates x i over a division ring D . Let M be a finitely generated B-module . Let B m denote the polynomial subring of B , namely D[x1,.... ,xm] , in m , indeterminates , where m is an integer such that 0 ? m ? n , with B0 =D, and Bn =B . Then Krull dimension (M) is m , 0 ? m ? n , if and only if M is a non torsion B m module such that for any positive integer k , k > m , M is a torsion B k module . We then also state and announce a generalisation of the…

关于若干变量上幂零环的多项式环及素幂零环的中心闭包

On Polynomial Rings Over Nil Rings in Several Variables and the Central Closure of Prime Nil Rings

本文证明了幂零环上多元多项式环是Brown-McCoy根，且素幂零环的中心闭包非有单位元单环，解答了相关公开问题。

参数模 Hecke 代数

The paramodular Hecke algebra

本文给出了素数级局部分级参数模 Hecke 代数的生成元与关系表示，证明其同构于四个非交换变量生成的自由 $\mathbb{Z}$-代数模七个关系生成的理想的商，并据此推导了特征有理性结果与中心刻画。

Categories with negation

We continue the theory of $\tT$-systems from the work of the second author, describing both ground systems and module systems over a ground system (paralleling the theory of modules over an algebra). The theory, summarized categorically at the end, encapsulates general algebraic structures lacking negation but possessing a map resembling negation, such as tropical algebras, hyperfields and fuzzy rings. We see explicitly how it encompasses tropical algebraic theory and hyperfields. Prime ground systems are introduced as a way of developing geometry. The polynomial system over a prime system is …