Byun, H.L. and S. Watson, Prime and maximal ideals in subrings of C(X), Topology and its Applications 40 (1991) 45-62. The structure of ideals in the ring C(X) of continuous functions on a completely regular space X and its subring C*(X) consisting of the bounded functions is well known. In this paper we study the prime and maximal ideals in subrings A(X) of C(X) that contain C*(X). We show tha...

in this paper, we define prime (semiprime) hyperideals and prime(semiprime) fuzzy hyperideals of semihypergroups. we characterize semihypergroupsin terms of their prime (semiprime) hyperideals and prime (semiprime)fuzzyh yperideals.

Suppose that a group G has a normal subgroup C where C and G/C are cyclic of relatively prime orders. Then any torsion unit in ZG is rationally conjugate to a trivial unit.

let $g$ be a finite group and $gamma(g)$ the prime graph of $g$‎. ‎recently people have been using prime graphs to study simple groups‎. ‎naturally we pose a question‎: ‎can we use prime graphs to study almost‎ ‎simple groups or non-simple groups? in this paper some results in‎ ‎this respect are obtained and as follows‎: ‎$gcong s_p$ if and only‎ ‎if $|g|=|s_p|$ and $gamma(g)=gamma(s_p)$‎, ‎whe...

Abstract One of the key points Pauli’s proof spin-statistics theorem is principle microcausality , which essentially states “that all physical quantities at finite distance exterior to light cone ( for <mml:...

Introduction: The Beal’s Conjecture was discovered by Andrew Beal in 1993. Later the conjecture was announced in December 1997 issue of the Notices of the American Mathematical Society. Yet it is still both unproved and un-negated a conjecture hitherto. Abstract First we classify A, B and C according to their respective odevity, and ret rid of two kinds from A+B=C. Then affirm A+B=C in which ca...

The focus of the project was to generate a titanic prime number by using high performance computing resources. What makes prime numbers significant is their use in modern computers for the encryption of data. The generation of primes are particularly computing intensive the larger the prime. This makes titanic primes (thousand digit prime numbers) a perfect candidate for distribution through gr...