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The first part of this book concerns the present state of the theory of chains (= total or linear orderings), in connection with some refinements of Ramsey's theorem, due to Galvin and Nash-Williams.
2
Factorwise Rigidity Involving Hereditarily
Indecomposable Spaces
The Cartesian product of two spaces is called factorwise rigid if any self homeomorphism is a product homeomorphism.
3
Modular representations of finite groups
Prove that an Artinian module U over a ring is a finite direct sum of
indecomposable submodules. Is the converse true? 1.7 Absolutely
indecomposable and absolutely irreducible modules Let R be an algebra over a
field K. An R-module V is ...
B. M. Puttaswamaiah, John D. Dixon, 1977
4
Computing the Projective
Indecomposable Modules of Large ...
modules, which are called the projective indecomposable modules of G.
Knowledge of the structure of projective indecomposable modules is not only of
interest to modular representation theory but also important for the study of the ...
5
Methods in the Theory of Hereditarily
Indecomposable Banach ...
In this paper we present the construction of a nonseparable Hereditarily
Indecomposable Banach space and we study its structure, as well as, the
structure of the space of bounded linear operators acting on that space.
Additionally we present ...
Spiros Argyros Andreas Tolias
The groups Z and Zpn{p prime) are indecomposable, in the sense that neither is
a direct sum of two of its proper subgroups (Exercise 1.8.1). Consequently,
Theorems 2.2 and 2.6(iii) may be rephrased as: every finitely generated abelian
group ...
Thomas W. Hungerford, 1974
7
The Representation Theory of Finite Groups
11 13. Principal indecomposable modules Let A be a ring satisfying A.C.C. An A
module V is a principal indecomposable module if V is indecomposable, V75 (0)
and v\AA. Lemma 13.1. Suppose that A has the unique decomposition property.
8
Representations of Finite Dimensional Algebras and Related ...
is tame in this case, i.e. we can describe all indecomposable complexes in terms
of combinatorial data. In the case of a chain of projective lines we have found a
tilting bundle. The en- domorphism algebra of this bundle is gentle and the ...
Vlastimil Dlab, Claus Michael Ringel
9
Recent Progress in General Topology II
The results in this section concern indecomposable continua and have little to do
with Polish group actions. However, Borel equivalence relations again play a
prominent role. By a continuum we understand a compact connected metric
space.
Miroslav Hušek, J. van Mill, 2002
Moreover, £ and N are uniquely determined by these conditions. 5f 16. An ordinal
p > 0 is said to be indecomposable if there exists no pair of ordinals £, N such
that Ç < p, N < p, and £ + n = p- (a) An ordinal p is indecomposable if and only if
Ç ...
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The Deistic Maximalism Principle
In other words, he discovered the concept of the finite “simple” (i.e. indecomposable) group. A few decades later a few more were discovered ... «h+ Magazine, 7월 14»
The Technological Elimination of Pain is Both Feasible and Possible
But this experience isn't a simple, indecomposable thing — it's actually a complex experience with multiple layers. Understanding the prospect ... «Institute for Ethics and Emerging Technologies, 6월 12»
Shedding light on complex mathematical group theories
Mathematically, an indecomposable or irreducible module of a finite group has only two submodules, the module itself and zero. Vertices and ... «Phys.Org, 5월 12»
UAE petroleum company promotes biodegradable bags
... the risks imposed by use of regular indecomposable plastic bags on the environment and has restricted the use of plastic bags at all its sites. «TopNews, 2월 10»
