The Cyclic Decomposition of the Group (Q2m C2) when m=2h ,
h Z+
AuthorsRajaa Hassan Abass
JournalInternational Journal of Engineering and Information Systems (IJEAIS)
AbstractThe main purpose of this paper, is determination of the cyclic decomposition of the abelian factor group AC(G) =
R (G)/T(G) where G = Q2m×C2 when m=2h , h Z+ (the group of all Z-valued characters of G over the group of induced unit
characters from all cyclic subgroups of G).
We have found that the cyclic, decomposition AC(Q2m×C2) depends on the elementary divisor of m as follows.
if m = 2
h
, h any positive integer, then:
AC( Q2m×C2) = 2
2( 1)
1
C
h
i
The Cyclic Decomposition of The group (Q2m C4) When m= ,h,r ∈ Z+ and p is prime Number
AuthorsRajaa Hassan Abass
JournalInternational Journal of Engineering & Technology
AbstractThe main purpose of this paper is to find The Cyclic decomposition of the group (Q2m C4) when m= ,h,r ∈ Z+ and p is prime number, which is denoted by AC (Q2m ×C4) where Q2m is the Quaternion group and C4 is the cyclic group of order 4 . We have also found the general form of Artin's characters table of Ar(Q2m×C4) when m= , h,r ∈ Z+ and p is prime number.
Derivation of a compound numerical method of Newton Coates formulas to calculate triple integrations when the dimensions are not equal
AuthorsRana Hassan Hilal Abdullah, Rajaa Hassan Abass,sundus najha jabair
JournalGlobal Journal of Mathematics
AbstractThe main objective of this paper is to to derivation numerically rule for finding the values of the triple integrals in region of the integration by using the Newton Coates formulas ( Mid-point rule and Simpson’s rule and Trapezoidal Rule on the x and y dimensions and z) and how to find the correction terms (error formula) and we use Romberg acceleration to improve the results when the number of subintervals of on the two dimensions are equal x,y but the other dimension z is not equal .
On the normed BH-algebras
AuthorsRajaa Hassan Abass
JournalInternational Journal of Pure and Applied Mathematics
AbstractThe main purpose of this paper, The notions of norm and distance in BH-algebras are introduced, and some basic properties in normed BH-algebras are given. It is obtained that the isomorphic (homomorphic) image and inverse image of a normed BH-algebra are still normed BH-algebras. The relations of normed properties between BH-algebra and Cartesian product of BH-algebras are investigated. The limit notion of sequence of points in normed BH-algebras is introduced, and its related properties are investigated, the relations between bounded normed BH-algebras and fuzzy BH-algebras are discussed.
On the Rational Valued Characters Table of the
Group(Q2m×C4) When m is an Even Number
AuthorsRajaa Hassan Abass
JournalApplied Mathematical Sciences
AbstractThe main purpose of this paper is to prove that the general form of a rational valued characters table of the group (Q2m C4)such that Q2m be the Quaternion group of order 4m when m is an even number and C4 be the cyclic group of order 4 and (Q2m×C4), be direct product of Q2m and C4 such that
Q2m C4 = {(a,b):a Q2m ,b C4} and |Q2m×C4|=|Q2m|.|C4|=4m.4=16m.
This table depends on a rational valued characters table of a quaternion groupof order 4m when m is an even number and is denoted by (Q2m C4 ).
On Artin's character table and Artin's cokernel of the group(Q2m×C4)
When m=2h,h∈Z+
AuthorsRajaa Hassan Abass
Journalمجلة الكوفة للرياضيات والحاسوب
AbstractThe main purpose of this paper is to find Artin's characters table of the group (Q2m×C4)when m=2h, h∈Z+, which is denoted by Ar(Q2m×C4) where Q2m is denoted to Quaternion group and C4 is the Cyclic group of order 4 .Moreover we have found The rational valued characters table and the Cyclic decomposition of Artin's cokernel AC(Q2m×C4) when m=2h, h∈Z+.
