期刊： COLLOQUIUM MATHEMATICUM, 2021; 165 (1)
This paper determines the minimal dimension of a certain class of faithful representations, which we call nice, for current Heisenberg Lie superalgebr......
期刊： COLLOQUIUM MATHEMATICUM, 2021; 165 (1)
Let R be a left coherent ring and S a right coherent ring, and let C-R(S) be a semidualizing bimodule. We show that the class T-C (R) of finitely pres......
期刊： COLLOQUIUM MATHEMATICUM, 2021; 165 (1)
We show that a generalized tilting module over the endomorphism algebra of an Oppermann-Thomas cluster tilting object in a 2n-Calabi-Yau (n + 2)-angul......
期刊： COLLOQUIUM MATHEMATICUM, 2021; 165 (1)
We first define a Hom-Yetter-Drinfeld category with a new compatibility relation and prove that it is a pre-braided monoidal category. Secondly, let (......
期刊： COLLOQUIUM MATHEMATICUM, 2021; 165 (1)
It is shown that an L-function in the extended Selberg class is uniquely determined by some invariants, such as the degree d(L), lambda(L)Q(2), the tr......
期刊： COLLOQUIUM MATHEMATICUM, 2021; 166 (1)
The concept of a weighted infinitesimal unitary bialgebra is an algebraic abstraction of the non-homogeneous associative classical Yang-Baxter equatio......
期刊： COLLOQUIUM MATHEMATICUM, 2021; 163 (1)
Let X be a subcategory of left S-modules and U-R(S) an (R, S)-bimodule. As a generalization of an adjoint cotranspose, we introduce an adjoint X-cotra......
期刊： COLLOQUIUM MATHEMATICUM, 2021; 164 (2)
We mainly construct a bicrossproduct for a finite-dimensional monoidal Hom-Hopf algebra (H,alpha), generalizing Majid's bicrossproduct. Naturally, the......
期刊： COLLOQUIUM MATHEMATICUM, 2021; 164 (2)
We prove an integral inequality for compact orientable real hypersurfaces of the complex quadric Q(n) (n >= 3) in terms of their shape operator S a......
期刊： COLLOQUIUM MATHEMATICUM, 2021; 164 (2)
Recently, we obtained a new characterization for an orthogonal system to be a simple-minded system in the stable module category of any representation......
期刊： COLLOQUIUM MATHEMATICUM, 2020; 159 (2)
We construct two new BiHom-algebras from an H-BiHom-bimodule algebra (A, alpha(A), beta(A) and a BiHom-Hopf algebra (H,alpha(H), beta(H)): the twisted......
期刊： COLLOQUIUM MATHEMATICUM, 2020; 159 (1)
For a set A of nonnegative integers and two positive integers k(1), k(2), let rk(1),k(2) (A, n) be the number of solutions of n = k(1)a(1) +k(2)a(2), ......
期刊： COLLOQUIUM MATHEMATICUM, 2020; 160 (2)
We introduce the class of split regular BiHom-Poisson superalgebras, which is a natural generalization of split regular Horn-Poisson algebras and spli......
期刊： COLLOQUIUM MATHEMATICUM, 2020; 160 (2)
Let Gamma be a split extension of a finite-dimensional algebra Lambda by a nilpotent bimodule E-Lambda(Lambda), and let (T, P) be a pair in mod Lambda......
期刊： COLLOQUIUM MATHEMATICUM, 2020; 160 (2)
Let phi(n) be Euler's totient function and tau(n) the divisor function. Recently, Zhao and Cao proved that Sigma(n)(a=1gcd(a,n)=1) gcd(a - 1, n)chi(a)......
