The neutrality’s origin,character,and extent are studied in the Neutrosophic set.The neutrosophic set is an essential issue to research since it opens the door to a wide range of scientific and technological applicat...The neutrality’s origin,character,and extent are studied in the Neutrosophic set.The neutrosophic set is an essential issue to research since it opens the door to a wide range of scientific and technological applications.The neutrosophic set can find its spot to research because the universe is filled with indeterminacy.Neutrosophic set is currently being developed to express uncertain,imprecise,partial,and inconsistent data.Truth membership function,indeterminacymembership function,and falsitymembership function are used to express a neutrosophic set in order to address uncertainty.The neutrosophic set producesmore rational conclusions in a variety of practical problems.The neutrosophic set displays inconsistencies in data and can solve real-world problems.We are directed to do our work in semi-continuous and almost continuous mapping on the basis of the neutrosophic set by observing these.Since we are going to study the properties of semi continuous and almost continuous mapping,we present the meaning of N-semi-open set,N-semi-closed set,N-regularly open set,N-regularly closed set,N-continuous mapping,N-open mapping,N-closed mapping,Nsemi-continuous mapping,N-semi-open mapping,N-semi-closed mapping.Additionally,we attempt to demonstrate a portion of their properties and furthermore referred to some examples.展开更多
In this paper we mainly investigate the behavior of tilting homological dimensions of the categories involved in the recollement of abelian categories(A,B,C).In particular,when abelian category B is hereditary,we give...In this paper we mainly investigate the behavior of tilting homological dimensions of the categories involved in the recollement of abelian categories(A,B,C).In particular,when abelian category B is hereditary,we give the connections between n-almost split sequences in the categories of(A,B,C).展开更多
本文考虑随机Direhlet级数f(s,ω)=sum from n=1 to ∞(1/n)b_nZ_n(ω)e^(-λns)(1)这里{λ_n}满足0≤λ_1<λ_2<…<λn<…<↑+∝(2)当(1)的收敛横坐标σ_c(ω)-0 a.s.和f(s,ω)是几乎必然零级的随机Dirchlet级数时,引...本文考虑随机Direhlet级数f(s,ω)=sum from n=1 to ∞(1/n)b_nZ_n(ω)e^(-λns)(1)这里{λ_n}满足0≤λ_1<λ_2<…<λn<…<↑+∝(2)当(1)的收敛横坐标σ_c(ω)-0 a.s.和f(s,ω)是几乎必然零级的随机Dirchlet级数时,引进准确零(R)级,考虑了[1]的几乎必然增长性,如文中定理1和定理2.展开更多
The definition of AP-injectivity wnil-injectivity and almost nil n-injectivity motivates us to generalize the injectivity to almost The aim of this paper is to investigate characterizations and properties of almost w...The definition of AP-injectivity wnil-injectivity and almost nil n-injectivity motivates us to generalize the injectivity to almost The aim of this paper is to investigate characterizations and properties of almost wnil-injective rings and almost nil n-injective rings. Various results are developed, and many conclusions extend known results.展开更多
文摘The neutrality’s origin,character,and extent are studied in the Neutrosophic set.The neutrosophic set is an essential issue to research since it opens the door to a wide range of scientific and technological applications.The neutrosophic set can find its spot to research because the universe is filled with indeterminacy.Neutrosophic set is currently being developed to express uncertain,imprecise,partial,and inconsistent data.Truth membership function,indeterminacymembership function,and falsitymembership function are used to express a neutrosophic set in order to address uncertainty.The neutrosophic set producesmore rational conclusions in a variety of practical problems.The neutrosophic set displays inconsistencies in data and can solve real-world problems.We are directed to do our work in semi-continuous and almost continuous mapping on the basis of the neutrosophic set by observing these.Since we are going to study the properties of semi continuous and almost continuous mapping,we present the meaning of N-semi-open set,N-semi-closed set,N-regularly open set,N-regularly closed set,N-continuous mapping,N-open mapping,N-closed mapping,Nsemi-continuous mapping,N-semi-open mapping,N-semi-closed mapping.Additionally,we attempt to demonstrate a portion of their properties and furthermore referred to some examples.
基金Supported by the National Natural Science Foundation of China(Grant No.11671126).
文摘In this paper we mainly investigate the behavior of tilting homological dimensions of the categories involved in the recollement of abelian categories(A,B,C).In particular,when abelian category B is hereditary,we give the connections between n-almost split sequences in the categories of(A,B,C).
文摘本文考虑随机Direhlet级数f(s,ω)=sum from n=1 to ∞(1/n)b_nZ_n(ω)e^(-λns)(1)这里{λ_n}满足0≤λ_1<λ_2<…<λn<…<↑+∝(2)当(1)的收敛横坐标σ_c(ω)-0 a.s.和f(s,ω)是几乎必然零级的随机Dirchlet级数时,引进准确零(R)级,考虑了[1]的几乎必然增长性,如文中定理1和定理2.
基金Supported by the Doctoral Fund of the Ministry of Education of China(Grant No.200803570003)the College Excellent Young Talents Fund of Anhui Province(Grant No.2013SQRL071ZD)
文摘The definition of AP-injectivity wnil-injectivity and almost nil n-injectivity motivates us to generalize the injectivity to almost The aim of this paper is to investigate characterizations and properties of almost wnil-injective rings and almost nil n-injective rings. Various results are developed, and many conclusions extend known results.
