Let M and N be two factor von Neumann algebras that their dimensions are large than 1,η≠-1 a non zero complex number and Φa(not necessary linear)bijection between two factor von Neumann algebras satisfying Φ(I)=I....
supported in part by the U.S.National Science Foundation(CCF1919154 and ECCS-1923409).
The Graph isomorphism problem involves determining whether two graphs are isomorphic and the computational complexity required for this determination.In general,the problem is not known to be solvable in polynomial ti...
The article is devoted to completing the proof of the inconsistency of set theory. In this article and in the two preceding ones, all steps of the proof are based on generally accepted informal set-theoretic reasoning...
Supported by the National Natural Science Foundation of China(11501274);the General Project for Educational Department of Liaoning Province,China(LJKMZ20220454,LJKZ0096).
The natural filtrations of infinite-dimensional Lie superalgebras of O-type over a field of positive characteristic are proved to be invariant under automorphisms by studying ad-nilpotent elements.We observe that two ...
jointly supported by National Natural Science Foundation of China(42202042 and 52278453);Foundation of Key Laboratory of Clay Mineral Applied Research of Gansu Province(CMAR-2022-02)
Clay minerals represent a class of hydrated phyllosilicates making up the fine-grained portions of rocks,sediments,and soils.Due to the advantages of abundant reserves,low prices,and wide applications,the development ...
The article is devoted to proving the inconsistency of set theory arising from the existence of strange trees. All steps of the proof rely on common informal set-theoretic reasoning, but they take into account the pro...
Supported by National Natural Science Foundation of China(Grant No.11801177);Postdoctoral Science Foundation of China(Grant No.2020M671471);Science and Technology Commission of Shanghai Municipality(Grant No.18dz2271000)。
A compact quantum metric space is a complete order unit space A endowed with a Lipnorm L.We give some characterizations of almost periodic type group actions on a compact quantum metric space(A,L)by means of several k...
Music and colour,as human hearing and visual art,are closely related to human psychological feelings and symbolic associations.There is an isomorphic relationship between music and colour.The article uses the concept...
Supported by NSF of Jilin Province(Grant No.YDZJ202201ZYTS589);NNSF of China(Grant Nos.12271085,12071405);the Fundamental Research Funds for the Central Universities。
A Hom-group is the non-associative generalization of a group whose associativity and unitality are twisted by a compatible bijective map.In this paper,we give some new examples of Hom-groups,and show the first,second ...
The existence of “strange trees” is proven and their paradoxical nature is discussed, due to which set theory is suspected of being contradictory. All proofs rely on informal set-theoretic reasoning, but without usi...