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Chain Condition on annihilators and Strongly Hopfian Property in Hurwitz Series Ring

Algebra Colloquium 2014年第4期21卷 635-646页

作者： All Benhissi Department of Mathematics Faculty of Sciences University of Monastir 5000 Monastir Tunisia

In this paper we study some properties of the Hurwitz series ring HA over a commutative ring A, such as the nilradical of HA and the chain condition on its an- nihilators. We provide an example showing that the last property does not pass from A to HA. A strongly Hopfian ring is a ring satisfying the chain condition on some type of annihilators. We give a large class of strongly Hopfian rings A such that HA are not strongly Hopfian.

关键词： Hurwitz series nilradical annihilators chain condition strongly Hopfian

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On the construction of multi-output Boolean functions with optimal algebraic immunity

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Science China(Information Sciences) 2012年第7期55卷 1617-1623页

作者： ZHANG Jie 1,2 ,SONG ShouChao 1 ,DU Jiao 2,3 & WEN QiaoYan 2 1 School of Science,Beijing University of Posts and Telecommunications,Beijing 100876,China 2 State Key Laboratory of Networking and Switching Technology,Beijing University of Posts and Telecommunications,Beijing 100876,China 3 Department of Mathematics,Xinxiang University,Xinxiang 453003,China School of Science Beijing University of Posts and Telecommunications Beijing China State Key Laboratory of Networking and Switching Technology Beijing University of Posts and Telecommunications Beijing China Department of Mathematics Xinxiang University Xinxiang China

In this paper,we show a construction of multi-output Boolean functions with optimal algebraic ***,the relationship between the algebraic immunity of a multi-output Boolean function and those of its component functions is *** show that all the component functions,together with their nonzero linear combination,of the multi-output Boolean functions achieved by this construction have optimal algebraic immunity simultaneously.

关键词： algebraic immunity Boolean functions algebraic attacks annihilators

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On the construction of odd-variable boolean functions with optimal algebraic immunity

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The Journal of China Universities of Posts and Telecommunications 2013年第3期20卷 73-77页

作者： ZHANG Jie WEN Qiao-yan School of Science Beijing University of Posts and Telecommunications State Key Laboratory of Networking and Switching Technology Beijing University of Posts and Telecommunications

Algebraic immunity is an important cryptographic property of Boolean functions. In this paper, odd-variable balanced Boolean functions with optimal algebraic immunity are obtained by m-sequence and consequently, we get bases with special constructions of vector space. Furthermore, through swapping some vectors of these two bases, we establish all kinds of odd-variable balanced Boolean functions with optimal algebraic immunity.

关键词： algebraic immunity Boolean functions algebraic attacks annihilators

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The Principles of Causal Conspiracy

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Journal of Quantum Information Science 2014年第3期4卷 137-172页

作者： Michael M.Anthony Department of Engineering Fourah Bay CollegeFreetownSierra Leone Enertron Inc. HohenwaldTennesseeUSA

The human mind understands logical processes and causality and formulates theories based on logical descriptions of empirical evidence. The Principles of Causal Conspiracy is based on defining information as logical charges similar to electric charges. Such information charges can be modeled in the vacuum of a quantum probability firmament as symmetry of quantum charges with a zero net charge. Observation of a state lifts one of these charges in a Möbius transformation from a multipolar field of possibilities that maximizes a local monopole field that is observable. In the first of several papers, I introduce new and profound principles, the Principles of Causal Conspiracy, to provide a consistent epistemology for quantum theory, relativity theory and all the known sciences.

关键词： Special Relativity Theory Dipole Monopoles Quantum Theory Quarks Space Time Moments Big Bang MOND annihilators Creators Fields Charges Logic Mobius Lagrangian Blackholes Riemann Sphere Causality Uncertainty Blackbody Radiation 8-Fold Way

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Principally Quasi-Baer Modules

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Journal of Mathematical Research and Exposition 2009年第5期29卷 823-830页

作者： LIU Qiong OUYANG Bai Yu WU Tong Suo Department of Mathematics and Physics Shanghai University of Electric Power Shanghai 200090 China Department of Mathematics Shanghai Jiaotong University Shanghai 200240 China Department of Mathematics Hunan Normal University Hunan 410081 China

In this paper,we give the equivalent characterizations of principally quasi-Baer modules,and show that any direct summand of a principally quasi-Baer module inherits the property and any finite direct sum of mutually subisomorphic principally quasi-Baer modules is also principally ***,we prove that left principally quasi-Baer rings have Morita invariant *** between Richart modules and principally quasi-Baer modules are investigated.

关键词： principally quasi-Baer rings (modules) endomorphism rings annihilators semicentral idempotents.

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