Hipotipoza prostora i karaktera u opusu F. M. Dostojevskog / Hypotyposis of Space and Character in the Work of F. M. Dostoevsky

Seed dormancy in pistacia mutica F. & M.

Krasner $F^{(m, n)}$-Hyperrings

$!!!!$ In this paper, the notion of fuzzy $!$ Krasner $!(m, n)$-hyperrings($!F^{(m, n)}!$-hyperrings) by using the notion of$F^m$-hyperoperations and $F^n$-operations is introduced and somerelated properties are investigated. In this regards,relationships between Krasner $F^{(m, n)}$-hyperrings and Krasner$(m, n)$-hyperrings are considered. We shall prove that everyKrasner $F^{(m, n)}$-hyperrin...

Constacyclic codes of length $p^sn$ over $\mathbb{F}_{p^m}+u\mathbb{F}_{p^m}$

Let Fpm be a finite field of cardinality p m and R = Fpm[u]/〈u 〉 = Fpm +uFpm (u = 0), where p is a prime and m is a positive integer. For any λ ∈ Fpm, an explicit representation for all distinct λ-constacyclic codes over R of length pn is given by a canonical form decomposition for each code, where s and n are positive integers satisfying gcd(p, n) = 1. For any such code, using its canonical fo...

Constacyclic codes of length $4p^s$ over $\mathbb{F}_{p^m}+u\mathbb{F}_{p^m}$

Let p be an odd prime, s,m be positive integers and Fpm be the finite field with p m elements. In this paper, we determine all constacyclic codes of length 4p over the finite commutative chain ring R = Fpm + uFpm with unity, where u 2 = 0. We also determine their dual codes and list some isodual constacyclic codes of length 4p over R.

All $\alpha+u\beta$-constacyclic codes of length $np^{s}$ over $\mathbb{F}_{p^{m}}+u\mathbb{F}_{p^{m}}$

Let Fpm be a finite field with cardinality p and R = Fpm + uFpm with u = 0. We aim to determine all α + uβ-constacyclic codes of length np over R, where α, β ∈ Fpm , n, s ∈ N+ and gcd(n, p) = 1. Let α0 ∈ F ∗ pm and α s 0 = α. The residue ring R[x]/〈x np − α − uβ〉 is a chain ring with the maximal ideal 〈x − α0〉 in the case that x n − α0 is irreducible in Fpm[x]. If x−α0 is reducible in Fpm[x], w...