Zobrazeno 1 - 5
of 5
pro vyhledávání: '"Nawal A. Alsarori"'
Publikováno v:
Symmetry, Vol 16, Iss 11, p 1455 (2024)
Suppose R is a finite commutative local ring, then it is known that R has four positive integers p,n,m,k called the invariants of R, where p is a prime number. This paper investigates the structure and classification up to isomorphism of local rings
Externí odkaz:
https://doaj.org/article/50851927dd7d44048aa756ec7736f19a
Publikováno v:
Mathematics, Vol 12, Iss 19, p 3069 (2024)
Suppose R is a local ring with invariants p,n,r,m,k and mr=4, that is R of order p4. Then, R=R0+uR0+vR0+wR0 has maximal ideal J=uR0+vR0+wR0 of order p(m−1)r and a residue field F of order pr, where R0=GR(pn,r) is the coefficient subring of R. In th
Externí odkaz:
https://doaj.org/article/f5a069ea9d4747398f5628110cda8be9
Publikováno v:
Symmetry, Vol 16, Iss 9, p 1169 (2024)
Let u,v, and w be indeterminates over Fpm and let R=Fpm+uFpm+vFpm+wFpm, where p is a prime. Then, R is a ring of order p4m, and R≅Fpm[u,v,w]I with maximal ideal J=uFpm+vFpm+wFpm of order p3m and a residue field Fpm of order pm, where I is an approp
Externí odkaz:
https://doaj.org/article/80ee642c16a7474980fcd62389e03e20
Publikováno v:
Axioms, Vol 13, Iss 8, p 552 (2024)
Suppose that R=Zp4[u] with u2=p3β and pu=0, where p is a prime and β is a unit in R. Then, R is a local non-chain ring of order p5 with a unique maximal ideal J=(p,u) and a residue field of order p. A linear code C of length N over R is an R-submod
Externí odkaz:
https://doaj.org/article/0f4d22703ae843869fa41d3511d63fd8
Publikováno v:
Mathematics, Vol 12, Iss 7, p 1099 (2024)
The study of linear codes over local rings, particularly non-chain rings, imposes difficulties that differ from those encountered in codes over chain rings, and this stems from the fact that local non-chain rings are not principal ideal rings. In thi
Externí odkaz:
https://doaj.org/article/70b64564087a414386b3b5c5a8744491