Triangular norms in the study of probabilistic metric spaces as a special kind of associative functions defined on the unit interval. These functions have found applications in many areas since then. In this study, we present new methods for constructing triangular norms and triangular conorms on an arbitrary bounded lattice under some constraints. Also, we give some illustrative examples for t...

Let $T=\biggl(\begin{matrix} A&0\\U&B\end{matrix}\biggr)$ be a formal triangular matrix ring, where $A$ and $B$ are rings $U$ is $(B, A)$-bimodule. We first give some computing formulas of projective, injective, flat $FP$-injective dimensions special left $T$-modules. Then we establish (weak) global $T$. It proven that (1) If $U_{A}$ $_{B}U$ $lD(A)\neq lD(B)$, then $lD(T)={\rm m...

danehkhoshk anticline is a typical growing anticline in kermanshah province which is located in folded zagros belt. the purpose of this research is to evaluate the effect of tectonic on the triangular facet characteristics, the drainage density and on the drainage pattern formed on anticline. dimensions of triangular facets were determined by means of quickbird satellite images and field works....

In this paper, we present the experimental observation of simultaneous bi-directional superluminal lasing in a triangular ring cavity without gain competition and crosstalk as needed for realizing gyroscope based on Sagnac effect. The spectrum each lasers is tailored to be narrow dip top broad using two stable isotopes Rb. Specifically, make use 85Rb produce via optically pumped Raman process 8...

In 2015, Brosnan and Chow, independently Guay-Paquet, proved the Shareshian-Wachs conjecture, which links Stanley-Stembridge conjecture in combinatorics to geometry of Hessenberg varieties through Tymoczko's permutation group action on cohomology ring regular semisimple varieties. previous work, authors exploited this connection prove a graded version special case. manuscript, we derive new set...

Let k be a fixed field of arbitrary characteristic and let ? basic connected Nakayama k-algebra without simple projective modules. In this article we prove that if V is an indecomposable finitely generated Gorenstein-projective left ?-module, then the versal deformation ring R(?,V) (in sense F. M. Bleher author) universal stable after taking syzygies. We also following result. ?=(?B0?) triangul...

In this paper, a metal–insulator–metal (MIM) surface plasmon waveguide structure is proposed and numerically investigated. It composed of square-ring cavity with silver baffle, an isosceles triangle cavity, bus baffle. The results show that the can produce triple Fano resonances be independently tuned by changing structural parameters. detection refractive indexes at different positions in was ...

Recent numerical simulations find a possible chiral spin-liquid state in the intermediate coupling regime of triangular lattice Hubbard model. Here we provide simple picture for its origin terms bosonic resonating valence bond (RVB) description. More specifically, show that such can be understood as quantum disordered tetrahedral spin stabilized by four ring exchange coupling, which suppresses ...

Let R be a right noetherian ring. We introduce the concept of relative singularity category $$\Delta _{\mathcal {X} }(R)$$ with respect to contravariantly finite subcategory $$\mathcal $$ $${\text {{mod{-}}}}R.$$ Along some finiteness conditions on , we prove that is triangle equivalent homotopy $$\mathbb {K} _\mathrm{{ac}}(\mathcal )$$ exact complexes over . As an application, new description ...