A note on nonlinear mixed type product $[E\diamond K,D]_\ast$ on  $\ast$-algebras

Mohammad Aslam Siddeeque; Raof Ahmad Bhat; Mohammad Shane Alam

Makale detayları

A note on nonlinear mixed type product $[E\diamond K,D]_\ast$ on $\ast$-algebras

Yazarlar:

Mohammad Aslam Siddeeque | Raof Ahmad Bhat | Mohammad Shane Alam

Yayıncı:

Hacettepe University

Ana Başlıklar:

Mathematical Sciences

Dergi:

Hacettepe Journal of Mathematics and Statistics Vol.54 Issue 1, pp.16-25

Belge Tipi:

Makale

Yayın Tarihi:

2/2025

Belge Dili:

İngilizce

Document ID (Org No.):

2001341748

pISSN:

2651-477X

Anahtar kelimeler:

Özet:

 Let  mathfrakB be a ast-algebra with the unity and a nontrivial projection. In the present paper, we show under certain restrictions that if a map Psi :  mathfrakB to  mathfrakB satisfies  Psi  E diamond K, D_ast   Psi E diamond K, D_ast  E diamond Psi K, D_ast  E diamond K, Psi D_ast for all  E, K, D in mathfrakB , then Psi is an additive ast-derivation.

 Let  mathfrakB be a ast-algebra with the unity and a nontrivial projection. In the present paper, we show under certain restrictions that if a map Psi :  mathfrakB to  mathfrakB satisfies  Psi  E diamond K, D_ast   Psi E diamond K, D_ast  E diamond Psi K, D_ast  E diamond K, Psi D_ast for all  E, K, D in mathfrakB , then Psi is an additive ast-derivation.

 Let  mathfrakB be a ast-algebra with the unity and a nontrivial projection. In the present paper, we show under certain restrictions that if a map Psi :  mathfrakB to  mathfrakB satisfies  Psi  E diamond K, D_ast   Psi E diamond K, D_ast  E diamond Psi K, D_ast  E diamond K, Psi D_ast for all  E, K, D in mathfrakB , then Psi is an additive ast-derivation.

 Let  mathfrakB be a ast-algebra with the unity and a nontrivial projection. In the present paper, we show under certain restrictions that if a map Psi :  mathfrakB to  mathfrakB satisfies  Psi  E diamond K, D_ast   Psi E diamond K, D_ast  E diamond Psi K, D_ast  E diamond K, Psi D_ast for all  E, K, D in mathfrakB , then Psi is an additive ast-derivation.

Makale detayları

A note on nonlinear mixed type product $[E\diamond K,D]_\ast$ on $\ast$-algebras

Yazarlar:

Mohammad Aslam Siddeeque | Raof Ahmad Bhat | Mohammad Shane Alam

Yayıncı:

Hacettepe University

Ana Başlıklar:

Mathematical Sciences

Dergi:

Hacettepe Journal of Mathematics and Statistics Vol.54 Issue 1, pp.16-25

Belge Tipi:

Makale

Yayın Tarihi:

2/2025

Belge Dili:

İngilizce

Document ID (Org No.):

2001341748

pISSN:

2651-477X

*-algebra

derivation

mixed *-derivation

additivity

Sayı

Makale detayları

A note on nonlinear mixed type product $[E\diamond K,D]_\ast$ on $\ast$-algebras

Yazarlar: Mohammad Aslam Siddeeque | Raof Ahmad Bhat | Mohammad Shane Alam

Yayıncı: Hacettepe University

Ana Başlıklar: Mathematical Sciences

Dergi: Hacettepe Journal of Mathematics and Statistics Vol.54 Issue 1, pp.16-25

Belge Tipi: Makale

Yayın Tarihi: 2/2025

Belge Dili: İngilizce

Document ID (Org No.): 2001341748

pISSN: 2651-477X

*-algebra

derivation

mixed *-derivation

additivity

Sayı

Yazarlar:

Mohammad Aslam Siddeeque | Raof Ahmad Bhat | Mohammad Shane Alam

Yayıncı:

Hacettepe University

Ana Başlıklar:

Mathematical Sciences

Dergi:

Hacettepe Journal of Mathematics and Statistics Vol.54 Issue 1, pp.16-25

Belge Tipi:

Makale

Yayın Tarihi:

2/2025

Belge Dili:

İngilizce

Document ID (Org No.):

2001341748

pISSN:

2651-477X