In this paper, for a prime number , a construction method to generate -ary -form sequences with the ideal autocorrelation property is proposed and using the ternary sequences found by Helleseth, Kumar, and Martinsen, ternary -form sequences with the ideal autocorrelation property are constructed. By combining the methods for generating -ary extended sequences (a special case of geometric sequen...

a subgroup $h$ is said to be $s$-permutable in a group $g$‎, ‎if‎ ‎$hp=ph$ holds for every sylow subgroup $p$ of $g$‎. ‎if there exists a‎ ‎subgroup $b$ of $g$ such that $hb=g$ and $h$ permutes with every‎ ‎sylow subgroup of $b$‎, ‎then $h$ is said to be $ss$-quasinormal in‎ ‎$g$‎. ‎in this paper‎, ‎we say that $h$ is a weakly $ss$-quasinormal‎ ‎subgroup of $g$‎, ‎if there is a normal subgroup ...

On the basis of the concept of the interval valued intuitionistic fuzzy sets introduced by K. Atanassov, the notion of interval valued intuitionistic fuzzy subsemimodule of a semimodule with respect to t-norm T and s-norm S is given and the characteristic properties are described. The homomorphic image and inverse image are investigated. In particular, by the help of the congruence relations on...

The partial functions under disjoint-domain sums and functional composition do not form a field, and thus conventional linear algebra is not applicable. However they can be regarded as a so-ring, an algebraic structure possessing a natural partial ordering, an infinitary partial addition and a binary multiplication, subject to a set of axioms. In this paper, we introduce the notions of 2-absorb...

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...

The interactions of ADP and the arginine enantiomers with arginine kinase have been investigated by measuring the enhancement of the longitudinal water proton relaxation rate (PRR) due to the paramagnetic Mn(I1) ion in the enzymesubstrate complexes. Anion effects on the kinetics of the forward reaction of arginine kinase, on the PRR of quaternary arginine kinase-MnADP-arginine complexes, and on...

The purpose of this paper is to introduce the concept graded 2-prime ideals as a new generalization prime ideals. We show that and semi-prime are different. Furthermore, we weakly also Several properties investigated. study rings in which every ideal prime, call such ring 2-P-ring. Moreover, semi-primary ideals, different concepts. In fact, semi-primary, primary equivalent over Z-graded princip...