A Note on C-wrpp Semigroups

ＬｅｔＲｄｅｎｏｔｅＧｒｅｅｎ ｓＲ ｒｅｌａｔｉｏｎｏｎａｓｅｍｉｇｒｏｕｐＳ .ＷｅｄｅｆｉｎｅａｒｉｇｈｔｃｏｎｇｒｕｅｎｃｅＬ ｏｎＳｉｎｔｈｅｒｕｌｅ:ｆｏｒａ ,ｂ∈Ｓ ,(ａ ,ｂ) ∈Ｌ ｉｆｆｆｏｒａｌｌｘ ,ｙ∈Ｓ1,　　 (ａｘ ,ａｙ) ∈Ｒ (ｂｘ,ｂｙ) ∈Ｒ .ＡｓｅｍｉｇｒｏｕｐＳｉｓｓａｉｄｔｏｂｅａＣ ｗｒｐｐｓｅｍｉｇｒｏｕｐｉｆａｌｌｉｄｅｍｐｏｔｅｎｔｓｏｆＳａｒｅｃｅｎｔｒａｌｉｎＳａｎｄｅａｃｈＬ ｃｌａｓｓｏｆＳｃｏｎｔａｉｎｓａｎｉｄｅｍｐｏｔｅｎｔ(ｓｅｅ [1 ] ) .　Ｔｈｅｐ…     

LOCAL CHARACTERISTIC OF HOLOMORPHIC AUTOMORPHISM ON CLASSICAL DOMAIMS

§1.Ｉｎｔｒｏｄｕｃｔｉｏｎ　　ＬｅｔＭｂｅａｃｏｍｐｌｅｘｍａｎｉｆｏｌｄ.Ｆｏｒａｎｙｐ∈ＭａｎｄａｎｙＸ∈Ｔ1,0ｐ(Ｍ),ｔｈｅＫｏｂａｙａｓｈｉｉｎｆｉｎｉｔｅｓｉｍａｌｐｓｅｕｄｏｍｅｔｒｉｃ[1]ｏｆＸｉｓＦ(Ｘ):=ｉｎｆ｜ａ｜∈Ｃ,ｆ:ＤＭｓ.ｔ.ｆ(0)=ｐａｎｄｆ(ａｚ)=Ｘ,ｗｈｅｒｅＤｉｓｔｈｅｕｎｉｔｄｉｓｋａｎｄｆ∈Ｈｏｌ(Ｄ,Ｍ)ｉｓｔｈｅｈｏｌｏｍｏｒｐｈｉｃｍａｐｆｒｏｍＤｔｏＭ,ａｎｄｔｈｅＣａｒａｔｈｅｏｄｏｒｙｉｎｆｉｎｉｔｅｓｉｍａｌｐｅｕｓｄｏｍｅｔｒｉｃｏｆＸｉｓＥ(Ｘ):=ｓｕｐ…     

π-inverse Semigroups Whose Lattice of π-inverse Subsemigroups is ∧- semidistributive

ＡｓｅｍｉｇｒｏｕｐＳｉｓｃａｌｅｄπ－ｒｅｇｕｌａｒｉｆｆｏｒｅｖｅｒｙｅｌｅｍｅｎｔａｏｆＳｔｈｅｒｅｅｘｉｓｔｓｍ∈Ｚ＋（ｔｈｅｓｅｔｏｆｐｏｓｉｔｉｖｅｉｎｔｅｇｅｒｓ）ｓｕｃｈｔｈａｔａｍｉｓｒｅｇｕｌａｒ．Ｌｅｔｕｓｄｅｎｏｔｅｂｙｒ（ａ...     

A CLASS OF r-POINT (r+1)ST-ORDER A-STABLE ONE-BLOCK METHODS WITH DAMPING AT THE INFINITE POINT

1　ＩｎｔｒｏｄｕｃｔｉｏｎＦｏｒｓｏｌｖｉｎｇｓｔｉｆｆｉｎｉｔｉａｌｖａｌｕｅｐｒｏｂｌｅｍｓｆｏｒｓｙｓｔｅｍｓｏｆＯＤＥｓｙ′=ｆ(ｙ) ,ｙ(ｔ0 ) =ｙ0 ,ｔ0 <ｔ≤Ｔ ,ｙ0 ,ｙ∈Ｒｍ,ｆ :Ω Ｒｍ →Ｒｍ (1 .1 )ｍａｎｙｐａｒｔｉｃｕｌａｒｏｎｅ ｂｌｏｃｋｍｅｔｈｏｄｓｏｆｔｈｅｆｏｒｍＹｎ+1= ＡＹｎ+ｈ( Ｂ0 Ｆ(Ｙｎ) + Ｂ1Ｆ(Ｙｎ+1) ) , Ａ =Ａ Ｉｍ, Ｂｉ=Ｂｉ Ｉｍ,Ａ ,Ｂｉ∈Ｒｒ×ｒ,Ｙｎ =(ＹＴｎｒ,… ,ｙＴ(ｎ+1)ｒ- 1) Ｔ,Ｆ(Ｙｎ) =(ｆＴ(ｙｎｒ) ,… ,ｆＴ(ｙ(ｎ+1)ｒ- 1) ) Ｔ,ｙｊ≈ ｙ(ｔｊ) ,…     

A Generalization of C—semigroup

§ 1.ＴｈｅＧｅｎｅｒａｌＣ ｓｅｍｉｇｒｏｕｐ　Ｉｎｔｈｉｓｐａｐｅｒ,ｗｅｌｅｔＸｂｅａＢａｎａｃｈｓｐａｃｅ,ａｎｄＢ(Ｘ)ｔｈｅｓｐａｃｅｏｆａｌｌｂｏｕｎｄｅｄｌｉｎｅａｒｏｐｅｒａｔｏｒｓｆｒｏｍＸｉｎｔｏＸ .　Ｄｅｆｉｎｉｔｉｏｎ 1 .1　ＳｕｐｐｏｓｅＣｉｓａｂｏｕｎｄｅｄｉｎｊｅｃｔｉｖｅｏｐｅｒａｔｏｒｆｒｏｍＸｉｎｔｏＸ .Ｔｈｅｆａｍｉｌｙｏｆｂｏｕｎｄｅｄｌｉｎｅａｒｏｐｅｒａｔｏｒｓ (Ｓ(ｔ) ) ｔ≥ 0 ｉｓａｇｅｎｅｒａｌＣ ｓｅｍｉｇｒｏｕｐｉｆｉｔｈａｓｔｈｅｆｏｌｌｏｗｉｎｇ…     

Remarks on a Mathematical Model from the Theory of Optimal Investment

ＩｎＣｈａｐｔｅｒ 4ｏｆ[1 ] ,ｆｒｏｍｔｈｅｔｈｅｏｒｙｏｆｏｐｔｉｍａｌｉｎｖｅｓｔｍｅｎｔｉｎｍａｔｈｅｍａｔｉｃａｌｆｉｎａｎｃｅ ,ｔｈｅｆｏｌｌｏｗｉｎｇｉｎｉｔｉａｌｖａｌｕｅｐｒｏｂｌｅｍｆｏｒａｐａｒａｂｏｌｉｃＭｏｎｇｅ Ａｍｐ埁ｒｅｅｑｕａｔｉｏｎｗａｓｄｅｒｉｖｅｄ :ＶｓＶｙｙ+ｒｙＶｙＶｙｙ-ｂ-ｒσ Ｖ2 ｙ =0 ,　 (ｙ ,ｓ) ∈Ｒ× [0 ,Ｔ) ,Ｖｙｙ <0 ,Ｖ(ｙ ,Ｔ) =ｇ(ｙ) ,　ｙ∈Ｒ( 1 )ｗｈｅｒｅＶ =Ｖ(ｙ,ｓ)ｉｓｔｈｅｕｎｋｎｏｗｎｆｕｎｃｔｉｏｎ ,ｒ,ｂ ,σａｒｅｇｉｖｅｎｃｏｎ…     

TENSOR PRODUCT OF SEMIGROUPSAND THE EQUATION AC-CB=Q

ＴＥＮＳＯＲＰＲＯＤＵＣＴＯＦＳＥＭＩＧＲＯＵＰＳＡＮＤＴＨＥＥＱＵＡＴＩＯＮＡＣ－ＣＢ＝Ｑ￥ＷＡＮＧＳＨＥＮＧｗａＮＧ；Ｉ．ＥＲＤＥＬＹＩＡｂｓｔｒａｃｔ：Ｐｒｏｐｅｒｔｉｅｓｆｏｒｔｅｎｓｏｒｐｒｏｄｕｃｔｓｏｆｓｅｍｉｇｒｏｕｐｓａｒｅｃｏｎｓ...     

课外练习

高一年级1.在△ＡＢＣ中 ,∠Ａ =2 0° ,ＡＢ =ＡＣ =ｂ ,ＢＣ=ａ .求证 :ａ3 +ｂ3 =3ａｂ2 .2 .若 π6 ≤ｘ≤ π3,求函数 ｙ =ｔａｎｘ -ｓｉｎ2 ｘｔａｎｘ +ｓｉｎ2 ｘ的最大值和最小值 .3 .若函数ｆ(ｘ)在 (-∞ ,3]上是减函数 ,且ｆ(ａ2 -ｓｉｎｘ)≤ｆ(ａ+ 1+ｃｏｓ2 ｘ)对一切ｘ∈Ｒ恒成立 ,求实数ａ的取值范围 .高二年级1.在棱长为ａ的正方体ＡＢＣＤ -Ａ1 Ｂ1 Ｃ1 Ｄ1中 ,过ＢＤ1 的截面分别交ＡＡ1 、ＣＣ1 于Ｅ、Ｆ两点 ,求四边形ＢＥＤ1 Ｆ面积的最小值 .(北京　含　笑 )2 .已知 :ｘ ,ｙ∈Ｒ+ ,且ｘ + ｙ =1.求ｕ =1ｘ3 +12ｙ的…     

The Limit Distribution of Some PP CM Statistics with Enough High Dimensions and Large Sample Size

ＴｈｅＬｉｍｉｔＤｉｓｔｒｉｂｕｔｉｏｎｏｆＳｏｍｅＰＰＣＭＳｔａｔｉｓｔｉｃｓｗｉｔｈＥｎｏｕｇｈＨｉｇｈＤｉｍｅｎｓｉｏｎｓａｎｄＬａｒｇｅＳａｍｐｌｅＳｉｚｅＣｈｅｎｇＰｉｎｇ（成平）（ＩｎｓｔｉｔｕｔｅｏｆＳｙｓｔｅｍｓＳｃｉｅｎｃｅ，Ａｃａ...     

On Factorization of Harmonic Maps of Surfaces into U(N) and Action of Groups

§ 0 .Ｉｎｔｒｏｄｕｃｔｉｏｎ　ＬｅｔＣｂｅｔｈｅｃｏｍｐｌｅｘｐｌａｎｅ ,ΩａｓｉｍｐｌｅｃｏｎｎｅｃｔｅｄｄｏｍａｉｎｉｎＣ∪ {∞ },ａｎｄＵ(Ｎ)ｔｈｅｒｅａｌｆｏｒｍｏｆｔｈｅｃｏｍｐｌｅｘ ｇｒｏｕｐＧＬ (Ｎ ,Ｃ) .Ｉｆｓ :Ω→Ｕ (Ｎ )ｉｓａｈａｒｍｏｎｉｃｍａｐ ,Ｕｈｌｅｎｂｅｃｋ[1] ｄｅｆｉｎｅｄｔｈｅｅｘｔｅｎｄｅｄｓｏｌｕｔｉｏｎＥλｏｆｓ,λ∈Ｃ \{0 },ｗｈｉｃｈｍａｙｂｅｅｘｐａｎｄｅｄｉｎｔｏａＬａｕｒｅｎｔｓｅｒｉｅｓ ∑+∞α=-∞λαＴα,ｓ=ＱＥ-1,ｗｈｅｒｅＱ∈Ｕ(Ｎ)ｉｓａｃ…     

带有乘右适当断面的右主投射半群(英文)

In this paper,the concept of right adequate transversals of rpp semigroups is introduced.We establish the structure of rpp semigroups with multiplicative right adequate transversals in terms of right normal bands and right adequate semigroups.In particular, some special cases are considered.     

毕竟PI—强rpp半群

定义了毕竟PI-强rpp半群,并刻划了这类半群的结构。     

The construction of orthodox super rpp semigroups

We define orthodox super rpp semigroups and study their semilattice decompositions. Standard representation theorem of orthodox super rpp semigroups whose sub-band of idempotents is in the varieties of bands described by an identity with at most three variables are obtained.     

Pseudo-C-rpp semigroups

The aim of this paper is to study a class of right pp semigroups, so-called pseudo-C- rpp semigroups. After obtaining some characterizations of pseudo-C-rpp semigroups, we establish a construction of such semigroups in terms of left normal bands and right C-rpp semigroups. In particular, a special case is considered.     

SOME REMARKS ON （L）-GREEN’S RELATIONS AND STRONGLY RPP SEMIGROUPS

In order to study rpp semigroups, in particular, some special cases, several facts on (l)-Green’s relations and strongly rpp semigroups are given as some remarks.     

左中心rpp半群的半直积

讨论了幂等元都是左中心元的rpp半群的半直积,给出了这种半群半直积的充要条件,推广了一些已知的结果.     

C-rpp半群的半直积

给出了两个幺半群的半直积是C-rpp半群的充要条件及结构。     

关于Wrpp半群上的Lawson偏序(英文)

In this paper,we introduce Lawson partial order ≤ w on wrpp semigroups.After obtaining some properties of ≤ w,we determine when ≤ w is(left;right) compatible with the multiplication.These results extend and enrich the related results of Lawson and GuoLuo on abundant semigroups,of Guo-Shum on rpp semigroups and of Liu-Guo on wrpp semigroups.     

Abundant Semigroups with a Multiplicative Adequate Transversal

The aim of this paper is to investigate abundant semigroups with a multiplicative adequate transversal. Some properties and characterizations for such semigroups are obtained. In particular, we establish the structure of this class of abundant semigroups in terms of left normal bands, right normal bands and adequate semigroups with some simple compatibility conditions. Finally, we apply this structure to some special cases. Received February 25, 1999, Revised November 22, 1999, Accepted December 9, 1999     

Super rpp semigroups

We study a class of special strongly rpp semigroups, namely, the class of super rpp semigroups. These super rpp semigroups are generalizations of both superabundant semigroups and Clifford semigroups within the class of rpp semigroups. In particular, we prove that a super rpp semigroup is a semilattice of D ^(l)-simple strongly rpp semigroups. Our result not only generalizes a well-known theorem of Clifford in the class of completely regular semigroups but also strengthens some structure theorems obtained by Ren-Shum for superabundant semigroups which are orthodox. Some special super rpp semigroups are considered and discussed.