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SEMIRING: 作品数：23被引量：31H指数：3; 导出分析报告; 相关领域：自动化与计算机技术理学更多>>; 相关作者：周媛兰张显曹重光张诚一胡启敏更多>>; 相关机构：中山大学河北大学驻马店师范高等专科学校江西师范大学更多>>; 相关期刊：《Progress in Natural Science:Materials International》《Frontiers of Mathematics in China》《Communications in Mathematical Research》《Journal of Mathematical Research with Applications》更多>>; 相关基金：国家自然科学基金中国博士后科学基金江西省自然科学基金海南省自然科学基金更多>>

The Kernel and Trace Approach to Congruences on Completely Regular Semirings: 《Algebra Colloquium》2024年第4期639-650,共12页Xuliang Xian Yong Shao; Natural Science Foundation of China(11971383,11801239);Shaanxi Fundamental Science Research Project for Mathematics and Physics(22JSY023).; On completely regular semirings,we give alternative characterizations for the kernel of a congruence and idempotent pure congruences.Then we give alternative characterizations for the trace of a congruence and idempot...; 关键词：SEMIRING Green's relation CONGRUENCE KERNEL trace

Dual Zariski Spaces of Modules: 《Algebra Colloquium》2023年第4期569-584,共16页SeçilÇeken; Let R be a commutative ring with identity,M be an R-module,L(M)denote the set of all submodules of M and g■(M)\{OM}.For any submodule N of M,we set gV^(d)(N)={K∈g:K■N}and gζ^(d)(M)=(GV^(d)(N):N■L(M)).Consider χ...; 关键词：dual Zariski semimodule χ-Zariski semiring ·-coprime submodule subtractive subspace

Complement of the reduced non-zero component graph of free semimodules: 《Applied Mathematics(A Journal of Chinese Universities)》2023年第1期1-15,共15页T.Tamizh Chelvam K.Prabha Ananthi; supported by CSIR Emeritus Scientist Scheme(21(1123)/20/EMR-II)of Council of Scientific and Industrial Research;this research is also supported by Dr.M.G.R.Research Scholarship by Manonmaniam Sundaranar University。; Let M be a finitely generated free semimodule over a semiring S with identity having invariant basis number property with a basisα={α1,...,αk}.The complement■of the reduced non-zero component graph■of M,is the si...; 关键词：SEMIRING MODULES PLANAR

Divisibility Proper ties of the Semiring of Ideals of an Integral Domain: 《Algebra Colloquium》2020年第3期369-380,共12页Gyu Whan Chang HwanKoo Kim; supported by the Incheon National University Research Grant in 2018(Grant No.2018-0014).; Let D be an integral domain,F^(+)(D)(resp.,f^(+)(D))be the set of nonzero(resp.,nonzero finitely generated)ideals of D,R_(1)=f+(D)∪{(0)},and R_(2)=F+(D)∪{(0)}.Then(R_(i),㊉,■)for i=1,2 is a commutative semiring wit...; 关键词：star operation P*MD *-Dedekind domain Gaussian semiring Bezout semiring unique factorization semidomain principal ideal semidomain

A Hua-like Theorem in Semirings＊: 《Algebra Colloquium》2015年第3期445-448,共4页Jun Pei Yuqi Guo K.P. Shum; Supported by the National Natural Science Foundation of China （10871161, 11371177）.; In this paper, we establish a Hua-Like theorem in some kind of semirings. This can be regarded as a generalized version of Hua＇s theorem from rings to semirings.; 关键词：SEMIRING Hua＇s theorem Hua-like theorem

Zero divisors and prime elements of bounded semirings: 《Frontiers of Mathematics in China》2014年第6期1381-1399,共19页Tongsuo WU Yuanlin LI Dancheng LU; Acknowledgements This work was supported by the National Natural Science Foundation of China （Grant No. 11271250）.; A semiring is an algebraic structure similar to a ring, but without the requirement that each element must have an additive inverse. A bounded semiring is a semiring equipped with a compatible bounded partial order. I...; 关键词：Bounded semiring zero divisor prime element small Z（A） idealstructure of ring

Rectangular Ring Congruences on an E-inversive Semiring: 《Chinese Quarterly Journal of Mathematics》2014年第4期529-538,共10页CHENG Zi-qiang ZHOU Yuan-lan PAN Shi-ju; Supported by the National Natural Science Foundation of China（10961014,11101354）; Supported by the Natural Science Foundation of Jiangxi Province（0611051）; Supported by the Science Foundation of the Education Department of Jiangxi Province（GJ 09459）; In this paper, we discussed the property of rectangular band semiring congruence and ring congruence on a semiring and gave some characterizations and structure of rectangular ring congruence on an E-inversive semiring.; 关键词：CONGRUENCE band semiring E-inversive semiring

The Variety of Semirings Generated by Distributive Lattices and Prime Fields被引量：3: 《Journal of Mathematical Research with Applications》2014年第5期529-534,共6页Yong SHAO Miaomiao REN; China Postdoctoral Science Foundation(Grant No.2011M501466);the Natural Science Foundation of Shannxi Province(Grant No.2011JQ1017); Let V be the variety generated by two-element distributive lattice B2 and k prime fields Fp1,...,Fpk. That is to say that V = HSP{B2, Fp1,...,Fpk}. It is proved that the variety V is finitely based. Also, the two-elem...; 关键词：prime field distributive lattice subdirectly irreducible semiring variety.

Application of Bipolar Fuzzy Sets in Semirings: 《Journal of Mathematical Research with Applications》2014年第1期61-72,共12页Min ZHOU Shenggang LI; Supported by the National Natural Science Foundation of China (Grant No.11071151); On the basis of concepts of bipolar fuzzy sets, we establish a new framework of bipolar fuzzy subsemirings（resp., ideals） which is a generalization of traditional fuzzy subsemirings（resp., ideals） in semirings. Th...; 关键词：bipolar fuzzy subsemiring （resp. ideal） SEMIRING equivalence relation normalbipolar fuzzy ideal.

Public Key Cryptosystem Based on Two Sided Action of Different Exotic Semirings被引量：1: 《Journal of Mathematics and System Science》2014年第1期6-13,共8页Mariana Durcheva; The idempotent semirings Rmax and Rmin play a crucial role in several areas of mathematics and their applications such as discrete mathematics, algebraic geometry, computer science, computer languages, linguistic prob...; 关键词：Public key cryptosystem exotic semirings semiring action residuals.

SEMIRING