TY - JOUR
AU - Dadhwal, Madhu
AU - Devi, Geeta
PY - 2024/04/03
Y2 - 2024/06/24
TI - A study on derivations of inverse semirings with involution
JF - Proyecciones (Antofagasta, On line)
JA - Proyecciones (Antofagasta, On line)
VL - 43
IS - 2
SE -
DO - 10.22199/issn.0717-6279-5627
UR - https://www.revistaproyecciones.cl/index.php/proyecciones/article/view/5627
SP - 383-400
AB - <p>In this research article, we study the influence of derivations on semirings with involution which resembles with commutativity preserving mappings. The action of derivations on Lie ideals and some differential identities regarding Lie ideals are also investigated. It is proved that for any two derivations d1, d2 of a prime semiring S with involution ⋆ such that atleast one of d<sub>1</sub>, d<sub>2</sub> is nonzero and char(S) 2, then the identity [d<sub>1</sub>(a), d<sub>2</sub>(a <sup>⋆</sup> )] + d<sub>2</sub>(a ◦ a <sup>⋆</sup> ) = 0, for all a ∈ L implies [L , S] = (0), where L is a Lie ideal of S.</p>
ER -