Advanced Topics in Algebra

We review the algebraic structure of $\mathbb{H}{\sharp}$ and show that $\mathbb{H}{\sharp}$ has a scalar product that allows as to identify it with semi Euclidean ${\mathbb{E}}^4_2$ . We show that a pair q and p of unit split quaternions in $\mathbb{H}{\sharp}$ determines a rotation $R_{qp}:\mathbb{H}{\sharp}{\righta…

• LEVENT KULA

Let R be a commutative ring with $1{\neq}0$ . In this paper, we introduce the concept of 2-absorbing primary ideal which is a generalization of primary ideal. A proper ideal I of R is called a 2-absorbing primary ideal of R if whenever $a,b,c{\in}R$ and $abc{\in}I$ , then $ab{\in}I$ or $ac{\in}\sqrt{I}$ or $bc{\in}\sq…

• ECE YETKİN ÇELİKEL

Let R be a commutative ring with $1{\neq}0$ . In this paper, we introduce the concept of 2-absorbing primary ideal which is a generalization of primary ideal. A proper ideal I of R is called a 2-absorbing primary ideal of R if whenever $a,b,c{\in}R$ and $abc{\in}I$ , then $ab{\in}I$ or $ac{\in}\sqrt{I}$ or $bc{\in}\sq…

• ATIF BAYRAMOĞLU
• ÜNSAL TEKİR

Let R be a commutative ring with $1{\neq}0$ . In this paper, we introduce the concept of 2-absorbing primary ideal which is a generalization of primary ideal. A proper ideal I of R is called a 2-absorbing primary ideal of R if whenever $a,b,c{\in}R$ and $abc{\in}I$ , then $ab{\in}I$ or $ac{\in}\sqrt{I}$ or $bc{\in}\sq…

• ECE YETKİN ÇELİKEL

We review the algebraic structure of $\mathbb{H}{\sharp}$ and show that $\mathbb{H}{\sharp}$ has a scalar product that allows as to identify it with semi Euclidean ${\mathbb{E}}^4_2$ . We show that a pair q and p of unit split quaternions in $\mathbb{H}{\sharp}$ determines a rotation $R_{qp}:\mathbb{H}{\sharp}{\righta…

No abstract yet.

• MUHAMMET TAMER KOŞAN

Let R be a ring and M a right R-module. The module M is a CS-module or satifies (C1) if every submodule is essential in a direct summand of M. In this note we investigate two generalizations of CS-modules.

• ADNAN TERCAN

No abstract yet.

• NOYAN FEVZİ ER

The differential calculus on the quantum supergroup was introduced by Schmidke et al (1990 Z. Phys. C 48 249). We construct a differential calculus on the quantum supergroup in a different way and obtain its quantum Lie algebra. The main structures are derived without an R -matrix. It is shown that the results can be…

No abstract yet.

Abstract Let R be a ring. The following results are proved. (1) Every element of R is a sum of an idempotent and a tripotent that commute if and only if R has the identity x6 = x4 if and only if R ≅ R1 × R2, where R1/J(21) is Boolean with U(R1) a group of exponent 2 and R2 is zero or a subdirect product of ℤ3’s. (2) E…

• MUHAMMET TAMER KOŞAN

No abstract yet.