supported by National Natural Science Foundation of China (Grant No. 12101316)。
Let Λ be an Artin algebra and let Gprj-Λ denote the class of all the finitely generated Gorenstein projective Λ-modules. In this paper, we study the components of the stable Auslander-Reiten quiver of a certain sub...
Supported by the National Natural Science Foundation of China(Grant No.11771272)。
Higher differential objects are investigated and used for addressing three gen-eral problems.Torsionless differential modules over path algebras are characterized.The adjoint triples between triangulated categories,in...
This work was carried out in compliance with the current laws of China and was supported by grants from the National Natural Science Foundation of China(32071511,31301878,and 31300339)。
We used Takydromus septentrionalis,a sexually size-monomorphic lacertid lizard,as a model system to test the hypothesis that sexual size monomorphism may evolve in lizards where reproductive performance is maximized a...
The study was carried out with the permission of the regional government of Castilla y Leon,Direccion General del Medio Natural,Servicio de Espacios Naturales.Research was funded by the Spanish Ministry of Economy,Industry,and Competitiveness through projects CGL2007-61395,CGL2010-15726,CGL2013-42451-P;PID2019-109685GB-I00 of the Spanish Ministry of Science and Innovation;G.G.L.was supported by a FPU fellowship of the Spanish Ministry of Science,Innovation and Universities(FPU19/06511);A.S.A.was supported by a Ramon y Cajal fellowship of the Spanish Ministry of Science(RYC-2017-22796).
Variation in offspring sex ratios is a central topic in animal demography and population dynamics.Most studies have focused on bird species with marked sexual dimorphism and multiple-nestling broods,where the offsprin...
Let M be an n-cluster tilting subcategory of mod-Λ,whereΛis an Artin algebra.Let S(M)denote the full subcategory of S(Λ),the submodule category of Λ,consisting of all the monomorphisms in M.We construct two functo...
Supported by the National Natural Science Foundation of China(Grant No.11471017);the Natural Science Foundation of Anhui Higher Education Institutions of China(Grant No.KJ2018A0304);the Doctoral Research Foundation and the Research Culture Foundation of Anhui Normal University(Grant No.2014xmpy11)
Let R be a ring with an identity and C(R) be the category of right R-modules. In this paper we introduce the notion of semi-McCoy module. With this notion we show that McCoy modules of C(R) are closed under kernel...
The first author was supported by the National Natural Science Foundation of China (Grant No. 11501465) and the Fundamental Research Funds for the Central Universities (XDJK2015C041), the second author was supported by the National Natural Science Foundation of China (Grant Nos. 11271257, 11201377) and the Natural Science Foundation of Shanghai (13ZR1422500).
For an acyelic quiver Q and a finite-dimensional algebra A, we give a unified form of the indecomposable injective objects in the monomorphism category Mon(Q, A) and prove that Mon(Q, A) has enough injective objects.
Monomorphism categories of the symmetric and alternating groups are studied via Cayley's Em-bedding Theorem. It is shown that the parity is well defined in such categories. As an application, the parity in a finite gr...
Supported by the National Natural Sciences Foundation of China (No. 61064002);the Program for New Century Excellent Talents in University China (No. Degrte NCET-06-0756)
In this paper, the concepts of (α,β) vague mappings, surjective (α,β) vague mappings, injective (α,β) vague mappings, bijective (α,β) vague mappings, (α,β) adjoin vague mappings, (α,β) vague mo...
Foundation item: Supported by the National Natural Science Foundation of China(10871137)
In this paper,it gives the definition of the category of ■-sets and bi-induced maps whose true value set is a Locale,a complete Heyting algebra.In this category it defines the L_b-monomorphisms and the L_b-epimorphis...