• 충청수학회지
• /
• 제26권4호
• /
• pp.683-690
• /
• 2013

In this paper, we introduce the concept of a right derivation in incline algebras and give some properties of incline algebras. Also, the concept of d-ideal is introduced in an incline algebra with respect to right derivation.

• 호남수학학술지
• /
• 제27권2호
• /
• pp.211-223
• /
• 2005

In this paper we study the Hyers-Ulam stability and the superstability of functional equations related to a multiplicative derivation.

• 대한수학회논문집
• /
• 제13권3호
• /
• pp.489-499
• /
• 1998

Let A be the non-commutative Banach algebra with identity satisfying certain conditions. We show that if D is a derivation on A, then D(A) is contained in the radical of A.

• 대한수학회보
• /
• 제44권1호
• /
• pp.185-194
• /
• 2007

In this paper we study the Hyers-Ulam-Rassias stability of the functional equations related to a multiplicative derivation.

• Journal of applied mathematics & informatics
• /
• 제6권2호
• /
• pp.611-630
• /
• 1999

In this paper we show that the Derivation D(A) on the non-commutative Banach algebra A with identity satisfying certain conditions is contained in the radical of A and will show some examples satisfying such properties.

• 대한수학회논문집
• /
• 제26권1호
• /
• pp.13-21
• /
• 2011

The aim of this paper is to introduce the notion of permuting tri-f-derivations in lattices and to study some properties of permuting tri-f-derivations.

• 대한수학회보
• /
• 제46권3호
• /
• pp.553-565
• /
• 2009

In this paper we prove that every generalized Jordan triple higher derivation on a 2-torsion free semiprime ring is a generalized higher derivation. This extend the main result of [9] to the case of a semiprime ring.

• 호남수학학술지
• /
• 제31권2호
• /
• pp.203-217
• /
• 2009

In this note, we introduce a symmetric generalized 3-derivation in near-rings and investigate some conditions for a nearring to be a commutative ring.

• East Asian mathematical journal
• /
• 제24권4호
• /
• pp.389-398
• /
• 2008

In this paper, some results of [6] concerning orthogonal ($\sigma$, $\tau$)-derivations and generalized ($\sigma$, $\tau$)-derivations are generalized for a nonzero ideal of a semiprime ring.

• 충청수학회지
• /
• 제22권4호
• /
• pp.615-622
• /
• 2009

We solve the automatic continuity problem of an approximate higher derivation on a semisimple Banach algebra and investigate Hyers-Ulam stability for higher derivations.