id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ejpam-753	Behboodi, Mahmood; Beyranvand, Reza	On the Structure of Commutative Rings with ${\bf {p_1}^{k_1}\cdots {p_n}^{k_n} Zero Divisors II	2010	9	.pdf	application/pdf	5402	363	93	= p y = 0, x2 = 0, y2 = δpx , x y = 0〉 where δ ∈ {0,1} and p 6= 2, 〈1, x , y; 4.1= 4x = 2y = 0, x2 = α2x , y2 = δ2x , x y = 0〉where (α,δ) ∈ {(0,0), (1,0), (1,1)}, 〈1, x1, x2; p31= px i = 0, x1 2 = x2 2 = 0, x1 x2 = 0〉, 〈1, x1, x2; p31= px i = 0, x1 2 = p2, x2 2 = x1 x2 = 0〉, 〈1, x1, x2; p31= px i = 0, x1 2 = εp2, x2 2 = x1 x2 = Fqt where Fqi ,s are finite fields and each Ri is local ring with |Z(Ri)| = p t j j for some p j (1 ≤ j ≤ n) and 1 ≤ t j ≤ k j .	cache/ejpam-753.pdf	txt/ejpam-753.txt