1) the minimum regular *-semigroup congruence
最小正则*-半群同余
1.
The aim of this paper is to study the minimum regular *-semigroup congruence on strongly P-regular semigroup S(P) ,which can also be written as simplify form γP when we take advantage of the regular*-transversal S° of S(P) .
主要研究了强P-正则半群S(P)上的最小正则*-半群同余。
2) the least regular semilattice congruence
最小正则半格同余
3) The minimum inverse semigroup congruence
最小逆半群同余
4) The smallest right zero semigroup congruence
最小右零半群同余
5) least group congruence
最小群同余
1.
We give a relation R on a π-regular semigroup S described as: R={(aea m-1a 1f,(aea m-1a 1f)2)∈S×S,am∈RegS,a 1∈V(am),e,f∈E(S)} ∪{(vb n-1b 1ub,(vb n-1b 1μb)2)∈S×S|b∈RegS,b 1∈V(bn),μ,v∈E(S)} and the least group congruence ρ# generated by R.
在π -正则半群S中 ,给出了关系R={(aeam- 1 a1 f,(aeam- 1 a1 f) 2 ) ∈S×S｜a∈S ,am ∈RegS ,a1 ∈V(am) ,e ,f∈E(S) }和由R生成的最小同余ρ#,给出了S的最小群同余的刻划 。
6) the minimum group congruence
最小群同余
1.
in this paper, and the minimum group congruence on the semigroups is obtained.
定义了严格π-正则半群上的群同余,并给出了该类半群上的最小群同余的刻画。
2.
For e, f∈E(S), if there exists m∈N such that(efe)m = (ef)m (efe)m = (fe)m ),we prove that the following binary relations: {(a,b)∈S×S:ea=eb for some e∈E (S) } (σ={(a,b)∈S×S:ae=be for some e∈E(S) } are the minimum group congruences on S.
证明了如果拟正则半群Ｓ的幂等元集Ｅ（Ｓ）满足以下条件：对任意的ｅ，ｆ∈Ｅ（Ｓ），存在ｍ∈Ｎ，使得（ｅｆｅ）ｍ＝（ｅｆ）ｍ（（ｅｆｅ）ｍ＝（ｆｅ）ｍ），则σ１＝｛（ａ，ｂ）∈Ｓ×Ｓ｜ｅ∈Ｅ（Ｓ），使得ｅａ＝ｅｂ｝（σ２＝｛（ａ，ｂ）∈Ｓ×Ｓ｜ｅ∈Ｅ（Ｓ），使得ａｅ＝ｂｅ｝）是Ｓ的最小群同余。
补充资料：完全正则半群
完全正则半群
completely - regular semi - group
完全正则半群【。扣lple城y一代gular semi一g娜p;.n，班业PeryJ.P一翻no几y印ynna」 同01场班d半群(Clifford sem卜grouP).
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参考词条