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IJEAS0406047 100%

[1]=x(5)^3+10663*x(4)*x(5)*x(6)+10664* x(3)*x(6)^2+10664*x(4)^2*x(7)-x(3)* x(5)*x(7) [2]=x(4)*x(5)^2-10664*x(4)^2*x(6)-10664* www.ijeas.org Primary Decomposition of Ideals Arising from Hankel Matrices x(3)*x(5)*x(6)+10664*x(2)*x(6)^2+ 10664*x(3)*x(4)*x(7)-x(2)*x(5)*x(7) [3]=x(3)*x(5)^2+10664*x(3)*x(4)*x(6)-x(2)* x(5)*x(6)+10664*x(1)*x(6)^2+10663* x(3)^2*x(7)+x(2)*x(4)*x(7)-x(1)*x(5)* x(7) [4]=x(4)^2*x(5)+10663*x(3)*x(4)*x(6)+ 10664*x(1)*x(6)^2+10664*x(3)^2*x(7)x(1)*x(5)*x(7) [5]=x(3)*x(4)*x(5)-x(2)*x(5)^2-10664* x(3)^2*x(6)+10664*x(1)*x(5)*x(6)+ 10664*x(2)*x(3)*x(7)-10664*x(1)*x(4)* x(7) [6]=x(3)^2*x(5)+x(2)*x(4)*x(5)-2*x(1)* x(5)^2-x(2)*x(3)*x(6)+x(1)*x(4)*x(6)+ x(2)^2*x(7)-x(1)*x(3)*x(7) [7]=x(4)^3-x(2)*x(5)^2-10664*x(3)^2*x(6)x(2)*x(4)*x(6)+10665*x(1)*x(5)*x(6)+ 10665*x(2)*x(3)*x(7)-10665*x(1)*x(4)* x(7) [8]=x(3)*x(4)^2-2*x(2)*x(4)*x(5)+x(1)* x(5)^2+x(2)^2*x(7)-x(1)*x(3)*x(7) [9]=x(3)^2*x(4)-x(2)*x(4)^2-x(2)*x(3)*x(5)+ x(1)*x(4)*x(5)+x(2)^2*x(6)-x(1)*x(3)* x(6) [10]=x(3)^3-2*x(2)*x(3)*x(4)+x(1)*x(4)^2+ 3*x(2)^2*x(5)-3*x(1)*x(3)*x(5) Now we show that above, [1]-[10].

https://www.pdf-archive.com/2017/09/10/ijeas0406047/

10/09/2017 www.pdf-archive.com

chimney-pot 93%

http://www.discountchimneysup ply.com/chimney_pots.html Chimney Pots Chimney Pots Discount Chimney Supply, Inc 10663, Loveland Madeira Rd (Ste #166), Loveland, OH, 45140 Web Site:

https://www.pdf-archive.com/2018/02/13/chimney-pot/

13/02/2018 www.pdf-archive.com

chimney pipe 11 93%

http://www.discountchimneysupply.com/chimney_ pipe.html Chimney Pipes Chimney Pipes Discount Chimney Supply, Inc 10663, Loveland Madeira Rd (Ste #166), Loveland, OH, 45140 Web Site:

https://www.pdf-archive.com/2018/02/17/chimney-pipe-11/

17/02/2018 www.pdf-archive.com

chimney-caps 93%

http://www.discountchimneys upply.com/chimney_caps.html Discount Chimney Supply, Inc 10663, Loveland Madeira Rd (Ste #166), Loveland, OH, 45140 Web Site:

https://www.pdf-archive.com/2018/03/12/chimney-caps/

12/03/2018 www.pdf-archive.com

New chimney-Stove-pipe 93%

10663, Loveland Madeira Rd (Ste #166), Loveland, OH, 45140 Web Site:

https://www.pdf-archive.com/2018/03/16/new-chimney-stove-pipe/

16/03/2018 www.pdf-archive.com

chimney-pipes 93%

com/stove_pipe.html Discount Chimney Supply, Inc 10663, Loveland Madeira Rd (Ste #166), Loveland, OH, 45140 Web Site:

https://www.pdf-archive.com/2018/03/19/chimney-pipes/

19/03/2018 www.pdf-archive.com

wind chimney caps 93%

10663, Loveland Madeira Rd (Ste #166), Loveland, OH, 45140 Website:

https://www.pdf-archive.com/2018/03/27/wind-chimney-caps/

27/03/2018 www.pdf-archive.com

Chimney Liners-1 93%

Discount Chimney Supply, Inc 10663, Loveland Madeira Rd (Ste #166), Loveland, OH, 45140 Website:

https://www.pdf-archive.com/2018/04/02/chimney-liners-1/

02/04/2018 www.pdf-archive.com

Copper-Chimney pots 93%

10663, Loveland Madeira Rd (Ste #166), Loveland, Ohio, 45140 Web Site:

https://www.pdf-archive.com/2018/04/07/copper-chimney-pots/

07/04/2018 www.pdf-archive.com

Stove Pipe 93%

10663, Loveland Madeira Rd (Ste #166), Loveland, OH, 45140 Web Site:

https://www.pdf-archive.com/2018/04/09/stove-pipe/

09/04/2018 www.pdf-archive.com

Multi-Fl-Chimney-Caps 93%

http://www.discountchimneysupply.com Discount Chimney Supply, Inc 10663, Loveland Madeira Rd (Ste #166), Loveland, OH, 45140 Web Site:

https://www.pdf-archive.com/2018/05/01/multi-fl-chimney-caps/

01/05/2018 www.pdf-archive.com

369.full 32%

36, 10663–10672 (2016). 12.

https://www.pdf-archive.com/2017/10/26/369-full/

26/10/2017 www.pdf-archive.com