Esempio n. 1
0
print "one = " + str(one);
print "i   = " + str(i);
print "X   = " + str(X);
print "Y   = " + str(Y);
print "x   = " + str(x);
print "y   = " + str(y);

m1 = ( ( x + 1 ), ( y ) )
m2 = ( ( x * y ), ( 0 ) )
m3 = ( ( x - X ), ( x - X ) )
m4 = ( ( y - Y ), ( y - Y ) )

ml = [m1,m2,m3,m4];
#print "ml = " + str(ml);

ssm = SolvableSubModule( sr, list=ml );
print "ssm: " + str(ssm);
print;

xsm = SolvableSubModule(SolvPolyRing(CC(),"X, Y, x, y",PolyRing.lex,rel=[y, x, ( ((0,),(1,)) * x * y ), Y, X, ( ((0,),(1,)) * X * Y )]),list=[ ( x - X, x - X ), ( x + ((1,),), y ), ( y - Y, y - Y ), ( x * y, 0 ) ]);
#     SolvableSubModule(SolvPolyRing(CC(),"X, Y, x, y",PolyRing.lex,rel=[y, x, ( ((0,),(1,)) * x * y ), Y, X, ( ((0,),(1,)) * X * Y )]),list=[ ( x - X, x - X ), ( x + ((1,),), y ), ( y - Y, y - Y ), ( x * y, 0 ) ]);
#     SolvableSubModule(SolvPolyRing(CC(),"X, Y, x, y",PolyRing.lex,(( y ), ( x ), ( ((0,),(1,)) * x * y ),( Y ), ( X ), ( ((0,),(1,)) * X * Y ))),list=[ ( x - X, x - X ), ( x + ((1,),), y ), ( y - Y, y - Y ), ( x * y, 0 ) ]);
print "xsm: " + str(xsm);
print;

mlg = ssm.leftGB();
print "mlg: " + str(mlg);
print;

mtg = ssm.twosidedGB();
print "mtg: " + str(mtg);
Esempio n. 2
0
(
 ( y ), ( x ), ( 0i1 x y )
 ( X ), ( Y ), ( 0i1 Y X )
)
"""

r = SolvableModule(rsc)
print "SolvableModule: " + str(r)
print

ps = """
(
 ( ( x + 1 ), ( y ) ),
 ( ( x y ), ( 0 ) ),
 ( ( x - X ), ( x - X ) ),
 ( ( y - Y ), ( y - Y ) )
)
"""

f = SolvableSubModule(r, ps)
print "SolvableSubModule: " + str(f)
print

flg = f.leftGB()
print "seq left GB:", flg
print

ftg = f.twosidedGB()
print "seq twosided GB:", ftg
print
Esempio n. 3
0
f = rs.ideal("", [t**2 + z**2 + x**2 + y**2 + 1])
print "f: " + str(f)
tf = f.twosidedGB()
print "t: " + str(tf)
print

#exit(0)

r = SolvableModule("", rs)
print "SolvableModule: " + str(r)
print

subm = [[0, t**2 + z**2 + x**2 + y**2 + 1], [x**2 + y**2, z]]

m = SolvableSubModule(r, "", subm)
print "SolvableSubModule: " + str(m)
print

#exit()
#startLog();

lg = m.leftGB()
print "seq left GB: " + str(lg)
print "is left GB: " + str(lg.isLeftGB())
print

tg = m.twosidedGB()
print "seq twosided GB: " + str(tg)
print "is twosided GB: " + str(tg.isTwosidedGB())
print "is right GB: " + str(tg.isRightGB())