On differential identities of Jordan ideals of semirings

In this article some salient characteristics of Jordan ideals of MA-semirings are discussed. We prove some results for derivations of MA-semirings satisfying different identities on their Jordan ideals and investigate commuting conditions through these ideals.

[2]  Ghulam Farid,et al.  Some differential identities of MA-semirings with involution , 2021 .

[4]  V. Kolokoltsov,et al.  Idempotent Analysis and Its Applications , 1997 .

[5]  Peter Kostolányi,et al.  Alternating weighted automata over commutative semirings , 2018, Theor. Comput. Sci..

[6]  P. Alam,et al.  H , 1887, High Explosives, Propellants, Pyrotechnics.

[7]  E. Posner.  Derivations in prime rings , 1957 .

[8]  W. Dudek,et al.  Stronger Lie derivations on MA-semirings , 2020, Afrika Matematika.

[10]  On Posner’s second theorem for semirings with involution , 2020 .

[11]  L. Oukhtite,et al.  Lie ideals and derivations of σ-prime rings , 2007 .

[12]  W. S. Martindale,et al.  Centralizing Mappings of Semiprime Rings , 1987, Canadian Mathematical Bulletin.

[13]  이영환.  Continuity of Derivations on Commutative Banach Algebras , 1990 .

[14]  Lie and Jordan structure in prime rings with derivations , 1973 .

[15]  K. Glazek,et al.  A Guide to the Literature on Semirings and their Applications in Mathematics and Information Sciences: With Complete Bibliography , 2002 .

[16]  U. Hebisch,et al.  Semirings: Algebraic Theory and Applications in Computer Science , 1998 .

[17]  P. Alam.  ‘S’ , 2021, Composites Engineering: An A–Z Guide.

[19]  I. Herstein,et al.  Lie ideals and derivations of prime rings , 1981 .

[20]  I. Herstein.  On the Lie and Jordan Rings of a Simple Associative Ring , 1955 .

[21]  Sara Shafiq,et al.  Jordan and Lie ideals of inverse semirings , 2021 .

[22]  E. Guven.  On (σ, τ)−Derivations in Prime Rings , 2008 .

[23]  M. Aslam,et al.  On centralizer of semiprime inverse semiring , 2016 .