Zobrazeno 1 - 3
of 3
pro vyhledávání: '"Asmaa Melaibari"'
Publikováno v:
AIMS Mathematics, Vol 8, Iss 10, Pp 22731-22757 (2023)
Let $ E $ and $ I $ denote the two non-unital rings of order 4 in the notation of (Fine, 93) defined by generators and relations as $ E = \langle a, b \mid 2a = 2b = 0, a^2 = a, b^2 = b, ab = a, ba = b\rangle $ and $ I = \langle a, b \mid 2a = 2b = 0
Externí odkaz:
https://doaj.org/article/73e23741eed04e8f9537a981ace3236a
Publikováno v:
IEEE Access, Vol 11, Pp 53120-53133 (2023)
In this paper, we present a basic theory of the duality of linear codes over three of the non-unital rings of order four; namely $I$ , $E$ , and $H$ as denoted in (Fine, 1993). A new notion of duality is introduced in the case of the non-commutative
Externí odkaz:
https://doaj.org/article/bb789eede4c2434db61a7d29e9d3324a
Publikováno v:
Gulf Journal of Mathematics. 4
Let R be a ring with center Z(R). A mapping H from R into itself is called a centrally-extended homoderivation on R if for each x, y ∈ R, H(x+y) - H(x) - H(y) ∈ Z(R) and H(xy) - H(x)H(y)- H(x)y - xH(y) ∈ Z(R). We present examples of mappings th