10 ENGLISH BOOKS RELATING TO «UNISERIAL»
Discover the use of
uniserial in the following bibliographical selection. Books relating to
uniserial and brief extracts from same to provide context of its use in English literature.
1
Foundations of Module and Ring Theory
Uniserial modules. 2. Serial modules. 3. Left serial rings. 4. Relations with -i\M). S
.Exchange property, t). Serial modules with extension property. 7. When are nil
finitely M-presented modules serial? 8.Serial rings. g. Modules with uniserial ...
2
Representation Theory of Artin Algebras
Lemma 2.5 Let A be an artin algebra which is a sum of uniserial modules. Then
the following are equivalent for a A-module C. (a) C/rC is simple. (b) If P — » C is
a projective cover, then P is uniserial. (c) C is uniserial. Moreover, if A and B are ...
3
A First Course in Noncommutative Rings
We have mentioned in this section that End(MR) is a semilocal ring if M R is an
artinian module (result of Camps-Dicks) or a uniserial module (result of Facchini)
over any ring R. These results provide new interesting classes of semilocal rings,
...
4
Module Theory: Endomorphism rings and direct sum ...
and. modules. Recall that an R-module M is said to be uniserial if for any
submodules A and B of M we have A Q B or B Q A. Hence a module M is
uniserial if and only if the lattice C(M) of its submodules is linearly ordered under
set inclusion.
5
Advances in Algebra and Model Theory
existence of a faithful uniserial fi-module U does imply, in some relevant cases,
that either R is a valuation ring, or a suitable ring obtained by R and determined
by U (over which U is canonically a uniserial module) is a valuation ring. In fact, if
...
6
Algebras, Rings and Modules: Volume 1
This result was generalized by T.Nakayama for Artinian serial rings, who called
these rings ”generalized uniserial rings”, (see T.Nakayama, On Frobeniusean
algebras I,II // Ann. of Math., v.40 (1939), p.611633; v.42(1941), p.1-21 and Note
on ...
Michiel Hazewinkel, Nadezhda Mikhaĭlovna Gubareni, Vladimir V. Kirichenko, 2006
7
Modules Over Non-Noetherian Domains
Chapter X Uniserial Modules The primary aim in this chapter is to give a general
development of uniserial modules. These modules form a class whose
significance is due to their role in the study of modules over valuation domains;
as a ...
László Fuchs, Luigi Salce, 2001
8
Purity, Spectra and Localisation
The endomorphism ring of a uniserial module need not be local: there is a
counterexample over a ring of Krull dimension 1 at [183, 9.26].11 If, however, the
ring is commutative or right noetherian, then the endomorphism ring of a uniserial
...
9
Canadian Journal of Mathematics
property. Conversely, if R/J- has every indecomposable injective left R- module
uniserial, then so does R. Proof. Let R/I be a factor ring of R and £R// be an
indecomposable injective over R/I. As S(ER/i) is simple, the injective hull of ERII
is ...
10
The Jacobson Radical of Group Algebras
G. Karpilovsky. k-1 k-i J(A) V = J(A) 'M5 >lJ(A)i+lV k _lJ(A)7'.V = J(A) = J(A) V = 0,
a contradiction. The conclusion is that, if k is the Loewy length of V, then V 3 J(A)
V 3 J(A)2V 3 ... 3 J%A)k_lV 3 O The module V is said to be uniserial if the above ...
NEWS ITEMS WHICH INCLUDE THE TERM «UNISERIAL»
Find out what the national and international press are talking about and how the term
uniserial is used in the context of the following news items.
The man who was jailed for 22 years – on the fantasy evidence of a …
Its text is peppered with scientific language – sebaceous gland, papilla, uniserial, vacuolated, cortex, cuticle. The assumption running through its 53 pages is that ... «The Guardian, Jun 15»
