TEORI IDEAL d-ALJABAR - Diponegoro University | Institutional Repository (UNDIP-IR)

ABSTRAK
Suatu -aljabar merupakan perumuman dari
-aljabar. Di dalam -aljabar
terdapat jenis-jenis ideal yaitu
-ideal, # -ideal, dan ∗ -ideal. Dengan
memanfaatkan konsep
-ideal dapat dibentuk -ideal, # -ideal, dan ∗ -ideal.
Dapat diperlihatkan bahwa setiap -ideal pasti –subaljabar, tetapi tidak berlaku
sebaliknya. Kemudian dengan menerapkan konsep ∗ -ideal dapat dibentuk aljabar kuosien.
Kata kunci: -aljabar,

-aljabar, -ideal,

v

#

-ideal,

∗

-ideal dan -subalgebra.

ABSTRACT
A -algebra is generalization of
-algebras. There are ideal types in a algebra i.e -ideal, # -ideal and ∗ -ideal. By used of
-Ideal concept, can be
#
∗
formed -ideal, -ideal and -ideal. Can be shown that every -ideal of a algebra is a -subalgebra, but the converse need not be true. Then by applying
the concept of ∗-ideal can be formed -algebra quotient.
Key words :
subalgebra.

-algebra,

-algebra,

-ideal,

vi

#

-ideal,

∗

-ideal and

-