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We show that for infinitely many prime numbers p there are at least \log\log p / \log\log\log p distinct residue classes modulo p that are not congruent to n! for any integer n.
On Prime Submodules of Finitely Generated Free Modules
Prime Submodules Finitely Generated Free Modules
2010/3/1
The aim of this work is to investigate prime submodules of finitely generated free modules over commutative domains in some special cases.
On the Centroid of the Prime Gamma Rings II
G-division ring G-field extented centroid central closure
2010/3/1
The aim of this paper is to study the properities of the extended centroid of the prime G-rings. Main results are the following theorems: (1) Let M be a simple G-ring with unity. Suppose that for some...
Let R be a prime ring. Let s , t be two homomorphisms and d be a (s,t)-derivation of R. The purpose of this paper is to prove two results: (i) If char R \neq 2, U is a non-zero ideal of R, s is subjec...
In this paper, we proved some results for one-sided (s, t)-Lie ideals in prime rings.