• Journal of applied mathematics & informatics
• /
• 제8권1호
• /
• pp.261-272
• /
• 2001

The intuitionistic fuzzification of a subalgebra in a BCK/BCI-algebra is considered, and related results are investigated. The notion of equivalence relations on the family of all intuitionistic fuzzy subalgebras of a BCK/BCI-algebra is introduced, and then some properties are discussed.

• Korean Journal of Mathematics
• /
• 제12권1호
• /
• pp.23-32
• /
• 2004

Let (B, $m_B$, ${\kappa}$) be a maximal commutative ${\kappa}$-subalgebra of a matrix algebra $M_n(\kappa)$. We will construct a maximal commutative ${\kappa}$-subalgebra (R, $m$, ${\kappa}$) of $M_n+3(\kappa)$ from the algebra B such that the algebra R has dimension greater than the dimension of B by 3. Moreover, we will show a $C_i$-construction doesn't imply a $C^3_2$-construction for $i=1,2$.

• Journal of applied mathematics & informatics
• /
• 제7권2호
• /
• pp.685-692
• /
• 2000

We introduce the notion of T-fuzzy circled subalgebras, and obtain some related results.

• 대한수학회논문집
• /
• 제17권3호
• /
• pp.451-457
• /
• 2002

Let (R, m, k) be a maximal commutative k-subalgebra of M$\sub$n/(k) where the index of nilpotency i(m) of m is 3. If the socle of R is of special case, then we can construct some isomorphic maximal commutative subalgebras.

• 대한수학회보
• /
• 제39권2호
• /
• pp.259-267
• /
• 2002

Let X be a hemicompact space with ($K_{n}$) as an admissible exhaustion, and for each n $\in$ N, $A_{n}$ a Banach function algebra on $K_{n}$ with respect to $\parallel.\parallel_n$ such that $A_{n+1}\midK_{n}$$\subsetA_n$ and${\parallel}f{\mid}K_n{\parallel}_n{\leq}{\parallel}f{\parallel}_{n+1}$ for all f$\in$$A_{n+1}$, We consider the subalgebra A = { f $\in$ C(X) : $\forall_n\;{\epsilon}\;\mathbb{N}$ of C(X) as a frechet function algebra and give a result related to its spectrum when each $A_{n}$ is natural. We also show that if X is moreover noncompact, then any closed subalgebra of A cannot be topologized as a regular Frechet Q-algebra. As an application, the Lipschitzalgebra of infinitely differentiable functions is considered.d.

• 충청수학회지
• /
• 제24권3호
• /
• pp.553-560
• /
• 2011

We introduce a method to construct some algebras $R{\in}MC_n(k)$ with dim(R) = n and $dim(m_R^2)=1$ for each $n{\geq}3$.

• 대한수학회논문집
• /
• 제25권2호
• /
• pp.173-184
• /
• 2010

Using $\cal{N}$-structures, the notion of an $\cal{N}$-ideal in a subtraction algebra is introduced. Characterizations of an $\cal{N}$-ideal are discussed. Conditions for an $\cal{N}$-structure to be an $\cal{N}$-ideal are provided. The description of a created $\cal{N}$-ideal is established.

• 호남수학학술지
• /
• 제36권3호
• /
• pp.493-503
• /
• 2014

We consider the simple antisymmetrized algebra $N(e^{A_P},n,t)_1^-$. The simple non-associative algebra and its simple subalgebras are defined in the papers [1], [3], [4], [5], [6], [8], [13]. Some authors found all the derivations of an associative algebra, a Lie algebra, and a non-associative algebra in their papers [2], [3], [5], [7], [9], [10], [13], [15], [16]. We find all the derivations of the Lie subalgebra $N(e^{{\pm}x_1x_2x_3},0,3)_{[1]}{^-}$ of $N(e^{A_p},n,t)_k{^-}$ in this paper.

• 대한수학회지
• /
• 제34권1호
• /
• pp.159-165
• /
• 1997

In this paper, k will denote an arbitrary field. If m, n are natural numbers, then $M_{m \times n}(k)$ will denote the set of all $m \times n$ matrices with entries in k. Every k-algebras will be assumed to contain a (multiplicative) identity $1 \neq 0$. A k-subspace $R_0$ of a k-algebra R will be called a k-subalgebra of R if $R_0$ is closed under multiplication from R and $R_0$ contains the identity of R. We will assume all k-algebra homomorphisms take the identity to identity.

• 충청수학회지
• /
• 제27권4호
• /
• pp.571-579
• /
• 2014

In this paper, we present new vector generators of a matrix subalgebra $L_{0,n}$, which is isomorphic to the Clifford algebra $C{\ell}_{0,n}$, and we obtain the matrix form of inverse of a vector in $L_{0,n}$. Moreover, we consider the solution of a linear equation $xg_2=g_2x$, where $g_2$ is a vector generator of $L_{0,n}$.