Hyperrings with n-ary composition hyperoperation

Norouzi Morteza; Cristea Irina

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Hyperrings with n-ary composition hyperoperation

机译：具有N-ARY组成过度的超吻

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摘要

Based on the concepts of composition ring and composition hyperring, in this note, we introduce the notion of n-ary composition hyperring and study the connections with composition hyperrings. Moreover, we show that special strong multiendomorphisms of hyperrings can determine the n-ary composition structure of a such hyperring and also a subclass of n-ary composition hyperrings. Finally, the three isomorphism theorems are studied in the framework of n-ary composition hyperrings.

机译：基于复合环和复合超环的概念，本文引入了n元复合超环的概念，并研究了与复合超环的联系。此外，我们还证明了超环的特殊强多自同态可以确定此类超环的n元合成结构，以及n元合成超环的一个子类。最后，在n元复合超环的框架下研究了这三个同构定理。

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《Journal of algebra and its applications》 |2018年第2期|共17页
作者
Norouzi Morteza; Cristea Irina;
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作者单位

Univ Bojnord Dept Math Fac Basic Sci Bojnord Iran;

Univ Nova Gorica Ctr Syst &

Informat Technol Nova Gorica Slovenia;

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原文格式 PDF
正文语种 eng
中图分类代数、数论、组合理论;
关键词
n-ary hypergroup; (m; n)-hyperring; composition hyperring; n-ary composition hyperideal;

机译：n-ary hypergroup;（m;n）-咽咽;组成超环;n-ary组成hyperidear;

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1. N-ary hyperstructures associated to the genotypes of F2-offspring [J] . M. Al-Tahan1, B. Davvaz2 生物数学学报：英文版 . 2017,第008期
2. Performance analysis and code recognition for dual N-ary orthogonal hybrid modulation systems [J] . Qiao Xiaoqiang, Zhao Hangsheng, Cai Yueming 高技术通讯（英文版） . 2008,第002期
3. Hyperrings with n-ary composition hyperoperation [J] . Norouzi Morteza, Cristea Irina Journal of algebra and its applications . 2018,第2期

机译：具有N-ARY组成过度的超吻
4. A new class of n-ary hyperoperations [J] . Leoreanu-Fotea Violeta, Rosenberg Ivo, Davvaz Bijan, European journal of combinatorics . 2015,第Pta2期

机译：一类新的n元超操作
5. Construction of composition (m, n, k) - hyperrings [J] . Universitatea "Ovidius" Constanta. Analele. Seria Matematica . 2016,第2016期

机译：构造（m，n，k）-超级环
6. Fuzzy n-ary compositions based on aggregation operators [C] . Portilla M.I., Eraso M.L., Institute of Electric and Electronic Engineer IEEE International Conference on Fuzzy Systems . 1997

机译：基于聚集算子的模糊N-ARY组合物
7. The Nearly Optimal N-ary Search Tree. [D] . Catalano, Dominic J. 2017

机译：最佳N元搜索树。
8. Algebraic Hyperstructures of Vague Soft Sets Associated with Hyperrings and Hyperideals [O] . Ganeshsree Selvachandran, Abdul Razak Salleh 2015

机译：与超环和超理想关联的Vague软集的代数超结构
9. A note on composition (m,n)-hyperrings [O] . Norouzi, Morteza, Cristea, Irina 2017

机译：关于成分（m，n）-超环的注释
10. Scalable Detection and Optimization of N-ARY Linkages [R] . Moore, A. , Schneider, J. , Kubica, J. , 2006

机译：N-aRY连杆的可扩展检测与优化

Hyperrings with n-ary composition hyperoperation

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