Primitive ideals in enveloping algebras (general case)

1987 ◽  
pp. 37-57 ◽  
Author(s):  
R. Rentschler
Keyword(s):  
Enveloping Algebras ◽  
Primitive Ideals

On the characterization of primitive ideals in enveloping algebras

1980 ◽  
Vol 173 (3) ◽  
pp. 217-221 ◽  
Author(s):  
Ronald S. Irving ◽  
Lance W. Small
Keyword(s):  
Enveloping Algebras ◽  
Primitive Ideals

Poisson primitive ideals of a Poisson order

2021 ◽  
pp. 1-10
Author(s):  
Y. Van Huynh ◽  
Sei-Qwon Oh ◽  
Hanna Sim
Keyword(s):  
Primitive Ideals

scholarly journals On S-Evolution Algebras and Their Enveloping Algebras

Mathematics ◽  
2021 ◽  
Vol 9 (11) ◽  
pp. 1195
Author(s):  
Farrukh Mukhamedov ◽  
Izzat Qaralleh
Keyword(s):  
Enveloping Algebras

In the present paper, we introduce S-evolution algebras and investigate their solvability, simplicity, and semisimplicity. The structure of enveloping algebras has been carried out through the attached graph of S-evolution algebras. Moreover, we introduce the concept of E-linear derivation of S-evolution algebras, and prove such derivations can be extended to their enveloping algebras under certain conditions.

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