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1
Oeuvres Scientifiques / Collected Papers: Volume 2 (1951-1964)
... by the elements r(ya), so that there is a one-to-one correspondence between 9Î
and a certain subset of the set GU) of all mappings of A into G. More precisely, F
is then a homomorphic image of the free group T' with the generators (y'a)aeA; ...
2
Algebraic Number Theory
A G-module A together with a functor morphism </> of D into D[G.,<] is called
direct limit of D if for every G'-module A' and for every functor morphism ff of D into
D[C. .A1 there exists one and only one morphism ftp, i/0 of [G, A] into [G', A') such
...
3
A Concrete Approach to Abstract Algebra: From the Integers ...
On the other hand, if a G A, then to see where f o (g o h) sends a, we first plug a
into g 0 h. This gives us an a value of g(h (a)), which next gets plugged into f to
give us f(g(h(a))). The bottom line is that regardless of whether a G A is plugged
into ...
4
Generalizations of Steinberg Groups
Thus, if G is a finite simple group and A = {A,il} is a universal algebra and | A | < |
G |, then there is a general verbal embedding of A into G. This follows since there
is an injective function from A into G and for each operation of A there is an ...
Thomas A. Fournelle, Kenneth W. Weston, 1996
5
Differential algebraic groups
... v, w) E Fwjy, so that g E Z1,-(A,,G). When g E B1y(A,,G), then there exists an 9-
mapping h' of As into G such that q(u“',v“')= h'(u“1)_1h'(v“') for every (u, v)E Fwjy,
and there exists a A-9-mapping h of A into G with h(u)=h'(u“') for every uEFwy; ...
Then the composite of F and G is the map consisting of F followed by G, that is,
the map which takes A into G(F(A)); to find this point, we must first of all find the
point B - F(A) which F takes A into, then the point G(B) which G takes B into.
Вячеслав Валентинович Никулин, 1987
7
The Algebraic Theory of Semigroups
With the above notation, let i-+ui and \-+vx be mappings of I into G* and A into G*,
respectively, and let co be a homomorphism of G into G* such that (1) holds for all
i in I and X in A such that p^i # 0. Then (2) defines a partial homomorphism of ...
Alfred Hoblitzelle Clifford, G. B. Preston, 1961
8
Canadian Journal of Mathematics
t£= (ia, i^, 16) and where a (/3) is a mapping of A (A) into G. Since (e; 1,1) is
idempotent, (e; 1, l)ct> = (E, ty, 19), where £ is the identity of G, and 1^ = 16.
Define 7 on # by (a;l,l)tl>= (ay,W,10). Since (a; 1, l)(b; 1, 1) = (aft; 1, 1), (ay,lt,16)(
by;lt,10) ...
9
Differential Algebra & Algebraic Groups
The K-cocycles of this type are called one-dimensional K-coboundaries of A into
G, and the set of all of them is denoted by B}, (A,G). Iff,,f2 e Z,1<(A,G) and if there
exists an h e 9JlK(A,G) such that f2(v. W) = h(v)_'f1(v, W)h(w) for all (v, w) e I];/K, ...
... then h = g a fis a p times continuously differentiable mapping of A into G. For p
= 1, the result follows from (8.2.1) and from the fact that (u, v) -> v c u is a bilinear
continuous mapping of J£?(E; F) x jS?(F; G) into i£ (E; G) by (5.7.5). Use now ...
Jean Dieudonne, Paul K. Smith, Samuel Eilenberg, 1960
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Bookmarks: NZ slang and birds
... which includes everything from ''A into G'', ''all hui and no doey'' and ''Benmore breakfasts'' to ''westies'', the ''wop wops'', ''wrinklies'', ''yeah ... «Otago Daily Times, 5月 15»
One Dollar Patent [SMART 100, 2015]
The One Dollar Patent act simply says to inventors, “You invented that? Great. Tell us all, pay one dollar (peppercorn, etc), get your a into g and ... «Anthill online, 5月 15»
All Blacks No 10 Aaron Cruden won't rule out Rugby World Cup but …
"I've had a couple of days to get my head around it and I still don't really know if it's sunk in but for me now I just have to put my A into G and ... «Taranaki Daily News, 4月 15»
Cricket: The game that will stop two nations
The Victorians refer to the world's largest cricket venue as "The G" and there's no disputing the Black Caps will need to put their A into G, as it ... «Hawke's Bay Today, 3月 15»
Steven Adams talks Kiwi in 'sweet as' BancFirst ad
I'd better get my A into G," Adams says. "You'd have to be two sammies short of a picnic not to bust a gut to do all your banking with BancFirst. «Stuff.co.nz, 3月 15»
Ignore critics and have fun getting old
The young have time on their side so they best get their a into g poor little pampered pooches, I almost feel sorry for them, yeah right! Huia Gold ... «New Zealand Herald, 11月 14»
Art in the dark: The people behind the art
I've always wished I was part of it, so this year I finally got my A into G and submitted an application on time. What are three unusual places ... «Stuff.co.nz, 11月 14»
Tennis: Tamai returns to head tennis side
... tennis clubs from across Waikato and Bay of Plenty. "I took a bit of time off and finally put my A into G and got back in the sport," he said. «New Zealand Herald, 9月 14»
“I got your back!” Where would wedding planning be without …
With only 5 months away from the ceremony, Brenda's Bridesmaids had to find inventive ways of getting her A into G, and what better way to ... «Fair Lady, 7月 14»
What teen girls really think
She took me in when I had problems, and she helped me get my A into G, and found me a job as a netball umpire. "My little nieces say, 'Hey ... «Auckland stuff.co.nz, 12月 13»
