In this study, we aimed to compare the buccal and palatal cusp fracture resistance of endodontically treated primary maxillary premolars with mesial-occlusal-distal cavity which was restored with composite resin by using different types of bonding adhesives. A hundred extracted double rooted human maxillary premolars were randomly separated into five groups in which 20 teeth were included in ea...

Two vital challenges arise in the next generation 5G networks: scarcity of spectrum and the aspect of energy efficiency (EE). In this letter, we first formulate the prime issue, i.e., energy harvesting (EV) for 5G wireless networks, in which spectrum and energy resources are efficiently received and resourcefully managed. Thereafter, we introduce a medium access control (MAC) scheme for dual ti...

The smallest and largest elements of L are denoted 0 and 1 respectively, so PL(0) is the empty set and PL(1) is the spectrum of L. As a ranges over L, PL(a) form a basis of closed sets for the so-called Zariski’s topology on Spec(L) which turns Spec(L) into a spectral space, that is a topological space homeomorphic to the spectrum of a ring. The following definitions for an element a and a prim...

We refine our earlier work on the existence and uniqueness of E∞ structures on K-theoretic spectra to show that at each prime p, the connective Adams summand ℓ has an essentially unique structure as a commutative S-algebra. For the p-completion ℓp we show that the McClure-Staffeldt model for ℓp is equivalent as an E∞ ring spectrum to the connective cover of the periodic Adams summand Lp. We est...

We provide a lower bound for the coherence of the homotopy commutativity of the Brown–Peterson spectrum, BP , at a given prime p and prove that it is at least (2p2 + 2p− 2)–homotopy commutative. We give a proof based on Dyer–Lashof operations that BP cannot be a Thom spectrum associated to n–fold loop maps to BSF for n = 4 at 2 and n = 2p + 4 at odd primes. Other examples where we obtain estima...

We study the spectrum of prime ideals in the tensor-triangulated category of compact equivariant spectra over a finite group. We completely describe this spectrum as a set for all finite groups. We also make significant progress in determining its topology and obtain a complete answer for groups of square-free order. For general finite groups, we describe the topology up to an unresolved indete...

Abstract Given a ring R and one of its proper ideals S , we obtain compactification the prime spectrum through mainly algebraic process. We call it -nilcompactification $$\textrm{Spec}S$$ Spec S . study some categorical properties this construction.

The prime graph of a finite group $G$ is denoted by $Gamma(G)$ whose vertex set is $pi(G)$ and two distinct primes $p$ and $q$ are adjacent in $Gamma(G)$, whenever $G$ contains an element with order $pq$. We say that $G$ is unrecognizable by prime graph if there is a finite group $H$ with $Gamma(H)=Gamma(G)$, in while $Hnotcong G$. In this paper, we consider finite groups with the same prime gr...