On a Retract of an Integral Domain.
On approximate roots of a polynomial.
On Armendariz rings.
On automorphisms of Weyl algebra
On Commutative Semigroups of Polynomials with Respect to Composition.
On Gaussian polynomials and content ideal.
On generalized Redei functions.
On mulitplication and factorization of polynomials, II. Irreducibility discussion.
On multiplication and factorization of polynomials, I. Lexicographic orderings and extreme aggregates of terms.
On orthogonal decomposition of homogeneous polynomials
On polynomial mappings into spheres
On the Anderson-Badawi conjecture
Let be a commutative ring with an identity different from zero and be a positive integer. Anderson and Badawi, in their paper on -absorbing ideals, define a proper ideal of a commutative ring to be an -absorbing ideal of , if whenever for , then there are of the ’s whose product is in and conjecture that for any ideal of an arbitrary ring , where . In the present paper, we use content formula techniques to prove that their conjecture is true, if one of the following conditions...
On the construction of explicit solutions to the matrix equation .
On the formal inverse of polynomial endomorphisms
On the generalization of the Fibonacci-coefficient polynomials.
On the irreducibility of pure difference binomials.
On the reduction of Kronecker's modular systems whose elements are functions of two and three variables.