Supported by NSFC under Grants 11771280 and 11671258;by NSF of Shanghai Municipal under Grant 17ZR1415400.
The new concept"derimorphism"generalizing both derivation and homomor-phism is defined.When a derimorphism is invertible,its inverse is a Rota-Baxter operator.The general theory of derimorphism is established.The clas...
Project supported by the National Natural Science Foundation of China(Grant No.11347026);the Natural Science Foundation of Shandong Province,China(Grant Nos.ZR2016AM03 and ZR2017MA011);the Natural Science Foundation of Heze University,China(Grant Nos.XY17KJ09 and XY18PY13).
By using the parameter differential method of operators,we recast the combination function of coordinate and momentum operators into its normal and anti-normal orderings,which is more ecumenical,simpler,and neater tha...
supported by National Key R&D Program of China(Grant No.2017YFA0206302);National Natural Science Foundation of China(Grant Nos.11504385,51627801,61435010,51702219,61975134);the support from Science and Technology Innovation Commission of Shenzhen(Grant Nos.JCYJ20170818093453105,JCYJ20180305125345378);supports from Major Program of Aerospace Advanced Manufacturing Technology Research Foundation NSFC and CASC,China(GrantNo.U1537204);the support from Program of State Key Laboratory of Quantum Optics and Quantum Optics Devices(Grant No.KF201816)
Because of the discovery of carbon atomic flatland, emerging physical phenomena are reported using the platform of two-dimensional materials and their hetero-structures. Especially, quantum orderings,such as supercond...
We generalize the Eulerian numbers ?to sets of numbers Eμ(k,l), (μ=0,1,2,···) where the Eulerian numbers appear as the special case μ=1. This can be used for the evaluation of generalizations Eμ(k,Z) of the Geo...
the National Natural Science Foundation of China (No.10601036)
This short note is devoted to an approach of the quasi-hereditary orderings of An-type algebras with exactly two generators. A necessary and sufficient condition for a quasi-hereditary ordering is obtained. Moreover, ...
1)Project supported hy the National Natural Science Foundation of China,Grant No,19661002
The aim of this paper is to investigate higher level orderings on modulesover commutative rings. On the basis of the theory of higher level orderings on fields andcommutative rings, some results involving existence of...
The concept of aging, which is very useful in reliability theory, describes the adverse or beneficial effects of age on the lifetime of systems. Several partial orderings of life distributions have been introduced. In...