Unity Set
Unity Set
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 Butterfly Unity Taper Candle Holder Set of Blown Glass  US $210.00
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 Personalized Diamond Flutes Knife Server Unity Set Pen Set 7 pc set US $169.99
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 SILVER HEARTS Wedding Unity Candles Set w Moms 8pcs US $157.00 |
 FALL LEAVES Wedding Unity Candle Moms Set 8 pieces US $157.00 |
 SET 6 RED WHITE SATIN WEDDING GUEST BOOK RING PILLOW GARTER BASKET UNITY CANDLE US $139.99
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 DAMASK BLACK WHITE WEDDING SET GUEST BOOK FLOWER GIRL BASKET RING PILLOW UNITY US $139.99
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 BROWN IVORY WEDDING SET FALL GUEST BOOK UNITY CANDLE FLOWER BASKET RING PILLOW US $139.99
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 Black White Wedding Guest Book Pen Set Ring Pillow Flower Basket Unity Candle US $139.99
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 BLACK IVORY Satin Wedding Set Lace GUEST BOOK Ring Pillow Unity Candle Basket US $139.99
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 WESTERN COWBOY Wedding Unity Candle Set CUSTOM w moms US $137.00 |
 Monique Lhuillier for Royal Doulton Modern Love Unity Candle Holder Set NIB US $135.00
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 Hand Carved WHITE or IVORY Victorian wedding Unity Candle set 8pcs w moms US $125.00 |
 Wedding Ceremony Unity Love Letter Box Set ENGRAVED US $125.00
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 100 Custom SILVER HEARTS Wedding Unity Candles Set w Moms 5 pieces your color US $120.00 |
 100 Custom HAND CARVED Wedding Unity Candles Set w Moms 5 pieces your color US $120.00 |
 Engraved Heart Shaped Unity Sand Ceremony Set 13pc US $105.00
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 Engraved Family Wedding Unity Ceremony Vases 12 pc Set US $105.00
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 10 pc Personalized Engraved Wedding Unity Sand Ceremony Set with 10 x 3 Vase US $101.95
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 Personalized Heart Shaped Unity Sand Ceremony Set 11pc US $99.95
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 Wedding Flower Decoration Unity Family Sand Ceremony Nesting 3 Piece Vase Set US $97.49
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 Personalized Heart Shaped Unity Sand Ceremony Set 12pc US $96.00
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 Engraved Personalized Heart Shaped Unity Sand Art Ceremony Set 12 pcs US $95.00
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 Bridal Beauty Calla Lily Unity Ceremony Candles Set US $94.99
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 UNITY SAND CEREMONY NESTING 3 PIECE VASE SET WEDDING DAY BRIDAL GIFT WITH SPONGE US $92.00
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 9 pcPersonalized Engraved Wedding Unity Sand Ceremony Set with 9 x 3 Vase US $90.95
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 Love Letter Unity Ceremony Wine Box Set Keepsake US $90.00
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Ring without unity?
Let R be a ring without unity and R* = R + Z (the direct sum of R and the set of all integers both abelian groups). How can I define multiplication on R* to make it a ring with unity?
define a multiplication * by: (a,n)*(b,m) = (ma+nb,nm). also, let addition in R+Z be given by (a,n)+(b,m)=(a+b,n+m). we check that these binary operations define a ring structure. first, note that R+Z is clearly an abelian group under this addition. as for multiplication, we have:
associative: [(a,m)*(b,n)]*(c,k) = (na+mb,mn)*(c,k) = (kna+kmb+mnc,kmn)
= (a,m)*(kb+nc,nk) = (a,m)*[(b,n)*(c,k)]
commutative: (a,n)*(b,m) = (ma+nb,nm) = (nb+ma,mn) = (b,m)*(a,n)
distributive: (a,m)*[(b,n)+(c,k)] = (a,m)*(b+c,n+k) = (an+ak+mb+mc,mn+mk) = (a,m)*(b,n)+(a,m)*(c,k)
identity: (a,n)*(0,1) = (1*a+n*0,n) = (a,n)
(0,1)*(a,n) = (n*0+1*a,n) = (a,n).
unity - set me free