Each strongly minimal Steiner k-system (M, R) (where is R a ternary collinearity relation) can be ‘coordinatized’ in the sense of (Ganter–Werner 1975) by quasigroup if k prime-power. We show this coordinatization never definable and k-systems constructed (Baldwin–Paolini 2020) interpret quasigroup. Nevertheless, refining construction, prime power, each (2, k)-variety quasigroups (Definition 3.1...

This paper gives a complete classification of the finite groups that contain a strongly closed p-subgroup for p any prime.

This paper gives a complete classification of the finite groups that contain a strongly closed p-subgroup for p any prime.

let $n$ be a submodule of a module $m$ and a minimal primary decomposition of $n$ is known‎. ‎a formula to compute baer's lower nilradical of $n$ is given‎. ‎the relations between classical prime submodules and their nilradicals are investigated‎. ‎some situations in which semiprime submodules can be written as finite intersection of classical prime submodule are stated‎.

In the year 1971, W. G. Lister [14] introduced the notion of ternary ring. Later in the year 2014, J. R. Castillo and Jocelyn S. ParaderoVilela [2] introduced the notion of krasner ternary hyperring. In [6] we introduce the notion of multiplicative ternary hyperring. In this paper we study prime hyperideals in a multiplicative ternary hyperring. We obtain some Characterizations of prime hyperid...

1. We say that g(n) is additive if g(mn)=g(m)+g(n) holds for every coprime pairs m, n of positive integers . If, moreover, g(p') =g(p)' for every prime power pa , then g(n) is called strongly additive . By p, pi , p2 , . . ., q, qr , q2 , . . . we denote prime numbers, c, Cl, c2i . . . are suitable positive constants . F(n) and x(n) denote the largest and the smallest prime factor of n . The sy...

A common approach to controlling complex networks is to directly control a subset of input nodes, which then controls the remaining nodes via network interactions. Current approaches for selecting input nodes assume that either all system matrix entries are known and fixed, or are independent free parameters, and focus either on performance or controllability. In this paper, we make two contrib...

We studied the representations underlying audiovisual integration using a priming paradigm. Audiovisual primes, preceding auditory targets, were either incongruent (auditory /ba/ & visual /va/) or congruent (auditory /va/ & visual /va/, auditory /ba/ & visual /ba/). The targets were /ba/ or /va/. The intensity of the prime ́s auditory component was either 50 dB or 60 dB. Identification speed of ...

Calculating the partition function of the zerotemperature antiferromagnetic model is an important problem in statistical physics. However, an exact calculation is hard, since it is strongly connected to a fundamental combinatorial problem of counting proper vertex colorings in undirected graphs, for which an efficient algorithm is not know to exist. Thus, one has to rely on approximation techni...