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There is another approach to the concept of the generating set. A set R is a
generator of the subsemigroup 93 of the semigroup W if and only //93 is the
intersection of all subsemigroups of% that contain ft. In fact, every subsemigroup
91 of the ...
We now consider the question of existence of a basis for a vector space V. Since
we have restricted our attention to vector spaces with a finite generating set,
consider a generating set {v,, v„. . ., vm} for V. We omit all the superfluous v,'s so
that ...
N. S. Gopalakrishnan, 1986
3
Encyclopaedia of Mathematics
A generalization of the notion of a generator is the notion of a generating set of
objects or set of generators (also separating set, etc.). A set of objects {G,: iel) is
said to be a generating set (in the first or second sense) if it satisfies the ...
4
Graph Symmetry: Algebraic Methods and Applications
Definition 27 A minimal generating set S of a group G = Gr(5) is a unit free
generating set such that Gr(5 \ {s}) is a proper subgroup3 of G for any s 6 5. A
minimal symmetric generating set S of a group G = Gr(S) is a unit free symmetric
...
Gena Hahn, Gert Sabidussi, 1997
5
Groups St Andrews 2005:
For the purpose of what follows, we have to be a little careful with the definition of
a generating set for a group. A set X, where each x ∈ X represents an element of
a group G, is said to be a monoid generating set for G if every element of G can ...
6
Handbook of Computational Group Theory
Examples: a permutation group G on a finite set defined by an arbitrary
generating set; a matrix group G over a finite field or an algebraic number field
defined by an arbitrary generating set. 3. Situation C. As in Situation B and,
additionally, we ...
Derek F. Holt, Bettina Eick, Eamonn A. O'Brien, 2005
7
Canadian Mathematical Bulletin
that {Rx : x G X\ } is independent. Clearly X\ is a minimal generating set of T.xex, #
*. Suppose that we have chosen subsets Xa C X for all a < a such that Xa is a
minimal generating set of T,xexa to* and for eacn <* + 1 < o we have A"a C A^i
and ...
8
Human Thought and Social Organization: Anthropology on a New ...
One algebraic concept we will use extensively is the idea of a generating set, G,
for an algebra, A. Intuitively, a generating set for an algebra is a set of elements
from which all the other elements of the algebra can be derived by taking
products ...
Murray J. Leaf, Dwight Read, 2012
9
Linear Algebra: Examples and Applications
The preceding basic result may be reformulated as: Any family having more
elements than a generating set is linearly dependent, or equivalently: Any
linearly independent subset of £(wi,. . . ,wm) has at most m elements. Definition. A
basis of a ...
In words, W is self-generating if the set of payoffs that can be enforced with
continuation payoffs in W includes all of W. A trivial example of a self-generating
set is the payoffs of a static equilibrium; static equilibria are the only one-point ...
Drew Fudenberg, Jean Tirole, 1991
WIADOMOŚCI, KTÓRE ZAWIERAJĄ SŁOWO «GENERATING SET»
Sprawdź, o czym dyskutuje się w prasie krajowej i zagranicznej oraz jak jest stosowane słowo
generating set w wiadomościach.
International Bank supports Manhyia Palace with mobile library …
The bank also presented 40 computers and their accessories, 40 printers, cinema equipment and a generating set valued at GH¢250,000 to ... «Graphic Online, Lip 15»
'They tied both legs and hands…'
The deceased was said to have died when he fell during a prayer session and allegedly hit his head against a generating set in the church. «The Guardian Nigeria, Lip 15»
GOTV Boxing Night - No More Power Failure - Alumona Assures
We won't be depending on the generating set provided by stadium management." Reviewing the past promotions with a team of journalists, ... «AllAfrica.com, Lip 15»
Fadipe's alleged killer: Unavailability of defence counsel stalls …
... about 11.30 p.m. when the estate was plunged into darkness following power outage, the lawyer sent his son to switch on the generating set. «The Guardian Nigeria, Lip 15»
Fadipe: 'Lover of justice, truth…'
... the late lawyer by scaling the fence and attacking Folarin, Fadipe's son, who had opened the door to switch off the electricity generating set. «The Guardian Nigeria, Lip 15»
Kings College Rot: Concerned Parents Lament Deplorable …
... bay had no generating set to power the facility and the group had to swiftly donate items like a refrigerator, generating set and other items. «Leadership Newspapers, Lip 15»
Global and China Wind Power Converter Industry Report, 2014-2018
LONDON, June 30, 2015 /PRNewswire/ -- As one of key components of a wind generating set, the wind power converter accounts for 17.9% of ... «SYS-CON Media, Cze 15»
Water Scarcity Hits Kogi
He said the state government had ordered for diesel which would be used to power the generating set as an alternative means to pump water. «AllAfrica.com, Cze 15»
Decomposed Body of Ex-FUTA VC Found in Generator House
... of Ilemobade, hiding his corpse in the outbuilding, which housed the generating set before fleeing with his vehicle which they planned to sell. «THISDAY Live, Cze 15»
Stakeholders Express Divergent Opinions On Measures To Tackle …
Olootu, who noted that he now relied on generating set to power his welding equipment, added that the outage had reduced patronage of ... «Leadership Newspapers, Cze 15»