Generic linkage is used to compute a prime ideal such that the radical of the initial ideal of the prime ideal is equal to the radical of a given codimension two monomial ideal that has a Cohen-Macaulay quotient ring.

A ring is called a Gelfand ring (pm ring ) if each prime ideal is contained in a unique maximal ideal. For a Gelfand ring R with Jacobson radical zero, we show that the following are equivalent: (1) R is Artinian; (2) R is Noetherian; (3) R has a finite Goldie dimension; (4) Every maximal ideal is generated by an idempotent; (5) Max (R) is finite. We also give the following resu1ts:an ideal...

In this paper, we will use the categorical approach to Hilbert \(C^{\ast}\)-modules over a commutative \(C^{\ast}\)-algebra investigate approximately orthogonality preserving mappings on \(C^{\ast}\)-algebra. Indeed, show that if \(\Psi:\Gamma \rightarrow \Gamma^{\prime} \) is nonzero \( C_{0}(Z) \)-linear \(( \delta , \varepsilon)\)-orthogonality mapping between continuous fields of spaces loc...

We study the production of light $J^{PC}=1^{-+}$ hybrid isoscalars $\eta_1^\prime(1855)$ and yet undiscovered $\eta_1(1660)$ as intermediate states in radiative decays charmonium ($J/\psi$) to two conventional mesons using a flavor symmetric Lagrangian. For this purpose, we use $J/\psi\to\gamma\eta_1^\prime(1855)\to\gamma\eta\eta^\prime$ process reference. find that some decay channels have bra...

In this paper we investigate further properties of fuzzy ideals of a BL-algebra. The notions of fuzzy prime ideals, fuzzy irreducible ideals, and fuzzy Gödel ideals of a BL-algebra are introduced and their several properties are investigated. We give a procedure to generate a fuzzy ideal by a fuzzy set. We prove that every fuzzy irreducible ideal is a fuzzy prime ideal but a fuzzy prime ideal m...