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代数么半群
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     Strict Radicals of Monoids
     半群上的严格根
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     T-semigroups
     T-半群
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     LATTICE OF STRICT RADICALS FOR MONOIDS
     半群上的严格根格
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     Semigroup Algebras over Fields of Characteritic O
     零特征域上的半群代数
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     On Boolean Group Algebra Semigroup
     关于布尔群代数半群
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  algebraic monoid
We prove that the group of invertible elements of an irreducible algebraic monoid is an algebraic group, open in the monoid.
      
In this short paper we prove that any irreducible algebraic monoid whose unit group is an affine algebraic group is affine.
      
be an irreducible regular algebraic monoid with unit group G.
      
Let MSOn (n is odd) be the special orthogonal algebraic monoid and Mn the monoid of all n × n matrices over an algebraically closed field.
      
We show that any normal algebraic monoid is an extension of an abelian variety by a normal affine algebraic monoid.
      


This article serves as an introduction to one of the amazing results established by Renner which is the analogue of the Bruhat decomposition of algebraic monoids. This result is a milestone in the system development of PutchaRenner theory. It was even new to M_n(K) when it was first found by Renner. In this article we give an elementary description to M_n(K) using linear algebra knowledge and list all rank two, semisimple rank one reductive monoids. We prove the analogue of Bruhat decomposition for M_n(K) in...

This article serves as an introduction to one of the amazing results established by Renner which is the analogue of the Bruhat decomposition of algebraic monoids. This result is a milestone in the system development of PutchaRenner theory. It was even new to M_n(K) when it was first found by Renner. In this article we give an elementary description to M_n(K) using linear algebra knowledge and list all rank two, semisimple rank one reductive monoids. We prove the analogue of Bruhat decomposition for M_n(K) in an elementary way. Finally we pose some open problems on Hecke algebras related to Renner monoids.

 主要介绍Renner得到的重要结果代数么半群的Bruhat分解 这一结果是Putcha-Renner理论系统发展的一个里程碑 当保留首先被Renner发现时,它甚至对Mn(K)也是新的 该文利用线性代数知识对Mn(K)的Bruhat分解给出一个初等描述,并且给出所有秩2,半单秩1的既约么半群 作者用初等方法证明了Mn(K)的Bruhat分解,最后介绍了与Renner么半群密切相关的Hecke代数

 
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