TY - JOUR
ID - 2844
TI - ON (α; τ)-P-DERIVATIONS OF NEAR-RINGS
JO - Journal of Algebraic Systems
JA - JAS
LA - en
SN - 2345-5128
AU - Mouhssine, Samir
AU - Boua, Abdelkarim
AD - Department of Mathematics, University Sidi Mohammed Ben Abdellah-Fez,
Polydisciplinary Faculty-Taza, LSI, P.O. Box 1223, Taza, Morocco
AD - Department of Mathematics, University Sidi Mohammed Ben Abdellah-Fez,
Polydisciplinary Faculty-Taza, LSI, P.O. Box 1223, Taza, Morocco.
Y1 - 2024
PY - 2024
VL - 12
IS - 1
SP - 163
EP - 177
KW - Near-rings
KW - Prime ideals
KW - $(\alpha
KW - \tau )$-derivations
KW - Commutativity
DO - 10.22044/jas.2023.12352.1661
N2 - The relationship between derivations and algebraic structures of quotient near-rings has become a fascinating topic in modern algebra in recent decades. Assume $\mathcal{N}$ is a near-ring and $P$ is its prime ideal. In this paper we introduce the notion of $(\alpha, \tau )$-$P$-derivation in near-rings. Also, we study the structure of the quotient near-rings $N/P$ that satisfies certain algebraic identities involving $(\alpha, \tau )$-$P$-derivation.
UR - https://jas.shahroodut.ac.ir/article_2844.html
L1 - https://jas.shahroodut.ac.ir/article_2844_4e2cfe591ca4db7f536f074c85a303d0.pdf
ER -