REGULAR AND 71 - INVERSE MONOIDS UNDER SCHUTZENBERGER PRODUCTS*

Eylem G. Karpuz; Firat Ates; Sinan Cevik

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REGULAR AND 71 - INVERSE MONOIDS UNDER SCHUTZENBERGER PRODUCTS*

机译：常规和71-SCHUTZENBERGER产品下的反单反*

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In this paper we give a partial answer to the problem which is about the regularity of Schiitzenberger product in semigroups asked by Gallagher in his thesis [4, Problem 6.1.6]. Furthermore, we determine necessary and sufficient conditions for the new version of the Schiitzenberger product of monoids which was firstly defined in [1] to be regular and strongly 7r-inverse.

机译：在本文中，我们部分地解决了加拉格尔在其论文中提出的关于Schiitzenberger乘积在半群中的正则性的问题[4，问题6.1.6]。此外，我们为Schiitzenberger product半群的新版本确定了充分必要的条件，该新版本首先在[1]中定义为规则且强7r逆。

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来源
《Algebras, groups and geometries》 |2010年第4期|p.455-469|共15页
作者
Eylem G. Karpuz; Firat Ates; Sinan Cevik;
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作者单位

Karamanoglu Mehmetbey UniversityDepartment of Mathematics, Karaman-Turkey;

Belikesir UniversityDepartment of Mathemastics, Balikesir, Turkey;

Selcuk UniversityDepartment of Mathematics, Konya, Turkey;

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正文语种 eng
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关键词
schutzenberger product; 7r-inverse monoid; regular monoid;

机译：schutzenberger产品;7r-逆半边形;规则半体;

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1. Naturally ordered regular semigroups with an inverse monoid transversal [J] . T. S. Blyth, M. H. Almeida Santos Semigroup Forum . 2008,第1期

机译：具有逆等边线横向的自然有序正则半群
2. End-Completely-Regular and End-Inverse Lexicographic Products of Graphs [J] . HailongHou, RuiGu ScientificWorldJournal . 2014,第3期

机译：完全定期和最终反向词典的图表
3. On inverses of products of idempotents in regular semigroups [J] . D. G. Fitz-Gerald Journal of the Australian Mathematical Society . 2009,第3期

机译：正则半群中等幂乘积的逆
4. The Trace Monoids in the Queue Monoid and in the Direct Product of Two Free Monoids [C] . Dietrich Kuske, Olena Prianychnykova International conference on developments in language theory . 2016

机译：队列Monoid和两个自由Monoid的直接乘积中的跟踪Monoid
5. Inverse monoids presented by a single sparse relator. [D] . Lindblad, Steven P. 2003

机译：由单个稀疏相关器表示的逆单面体。
6. End-Completely-Regular and End-Inverse Lexicographic Products of Graphs [O] . Hailong Hou, Rui Gu -1

机译：图的完全正则和反终极词典产品
7. Wreath products of acts over monoids: I. regular and inverse acts [O] . Knauer Ulrich, Mikhalev Alexander V. 1988

机译：花环的行为产生的花环产物：一，规则行为和反行为

REGULAR AND 71 - INVERSE MONOIDS UNDER SCHUTZENBERGER PRODUCTS*

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