Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
Results
Showing 1 to 12 of 12 for “"R-modules"”.
-
Application of the Tor Functor on Commutative R-Modules
R-modules are algebraic objects which may be considered as generalizations of k-vector spaces. An element a∈A is a torsion element of a module A if there is a nonzerodivisor r∈R such that ra=0. For an arbitrary ring R if we take Q to be the localization of R with respect to the set of …
-
Dimension-Theory of Sheaves of R'-Modules (R' Is the Structure Sheaf of a Commutative Ring R With 1)
Made available in DSpace on 2014-12-11T18:24:07Z (GMT). No. of bitstreams: 1 7412083.pdf: 2247917 bytes, checksum: e427d09a55ec17bc8b14a4f054481d67 (MD5) Previous issue date: 1973
-
Algebraic finite domination
… chain complexes of finitely generated free R-modules where R is a strongly Zn-graded ring.
-
Injective objects
… a ring with an identity 1. Let A, B, and C be R-modules. The sequence A → [f above arrow] B→[g above arrow] C is exact providing f and g are R-homomorphisms and Im f =Ker g. Let 0 represent the R-module with precisely one element. An R-module J is injective if and only if for every exact sequence …
-
Display structures on de Rham-Witt cohomology
… are finite projective $R$-modules for all $a,b \ge 0$. This was conjectured by Langer and Zink [LZD]. We use the formalism of predisplays from [La18], more precisely we show that $\underline{P}^l$ is a display over the Witt-frame $\underline{W}(R)$. This is achieved by …
-
Iwasawa theory of p-adic Lie extensions
… properties of R and of finitely generated R-modules are studied. In particular, we introduce the notation of pseudo-null modules as well as pseudo-isomorphisms, which turn out to be essential for structure theorems of R-modules. Then a local duality theorem and the Auslander-Buchsbaum …
-
The Baer Criterion For Injective Modules Over Noetherian Rings
… provides a test for checking to see if R-modules are injective modules. Then we considered the case when R is a Noetherian ring. We discovered that in this case we can refine our criteria for testing modules for injectivity.
-
A study of homological invariants modulo an exact zero divisor
… computer algebra system Macaulay2. Given two R-modules, we then use a mapping cone construction to relate homology of the two modules over Q to homology over R, and we give applications of this construction to the study of several homological invariants, such as complexity, curvature and …
-
Generalized Clifford Theory (Group Ring, Frobenius Extensions)
… sum of a finite number of copies of V as R-modules. (We say that (V('S))(,R) weakly divides V in this case.)
-
Power efficient Transmit/Receive (T/R) Elements for Integrated mm-Wave Phased Arrays
… GHz) phased array transmit and receive (T/R) modules in 130 nm SiGe BiCMOS technology based on the proposed PS and our measurements show high power efficiency with the lowest power consumption at W-band to our knowledge (18mW and 26mW power dissipations at receiver (Rx) and transmitter (Tx) …
-
Gradings of Lie Algebras
… for this dissertation. Tensor products of modules over a commutative ring R are the sole focus of Appendix B. We explicitly construct the tensor product of two R-modules, and see how all multi-linear maps filter through tensor products. This is followed by a collection of results chosen to …
-
Unique Prime Factorization of Ideals in the Ring of Algebraic Integers of an Imaginary Quadratic Number Field
<p>The ring of integers is a very interesting ring, it has the amazing property that each of its elements may be expressed uniquely, up to order, as a product of prime elements. Unfortunately, not every ring possesses this property for its elements. The work of mathematicians like Kummer and …