YD Sumanto
Unknown Affiliation

Published : 17 Documents
Articles

## Title

### Found 3 Documents Search Journal : Jurnal Matematika

PERLUASAN DARI RING REGULAR Shinta, Devi Anastasia; Sumanto, YD
Jurnal Matematika Vol 2, No 3 (2013): JURNAL MATEMATIKA
Publisher : MATEMATIKA FSM, UNDIP

#### Abstract

Regular ring R is a nonempty set with two binary operations that satisfied ring axioms and qualifies for any x in R there is y in R such that x=xyx. Regular ring R Ìƒ is a ring of the set of endomorphism R^+ with identity. For any regular ring R and R' can be defined a bijective mapping from R to R' that satisfies ring homomorphism axioms or in the otherwords that mapping is an isomorphism from R to R'. By using the concept of regular ring and ring isomorphism can be determined extension of regular ring. Regular ring R is said to be embedded in regular ring R^R ÌƒÂ  if there exists a subring R^0 of R^R ÌƒÂ  such that R is isomorphic to R^0. Furthermore, regular ring R^R ÌƒÂ  can be said as an extension of regular ring R.
SEMIGRUP- INTRA-REGULAR DAN KETERKAITANNYA DENGAN BI-IDEAL,QUASI-IDEAL, SERTA IDEAL KANAN DAN KIRI Purwandani, Meiliana; Sumanto, YD
Jurnal Matematika Vol 3, No 4 (2014): JURNAL MATEMATIKA
Publisher : MATEMATIKA FSM, UNDIP

#### Abstract

Â . A -semigroup is generalization from semigroup, which concepts in -semigroup analogue with concepts in semigroup. is called a -semigroup if there is a mapping between two nonempty sets Â and , written as , such that , for all Â and . A -semigroup is said to be intra-regular if contains for all elements of intra regular, is if , for all Â and . In this paper, discussed about intra-regular -semigroup and the relation based on bi-ideals, quasi-ideals, and ideals right and left.Â
PERLUASAN DARI RING REGULAR Shinta, Devi Anastasia; Sumanto, YD
Jurnal Matematika Vol 2, No 3 (2013): JURNAL MATEMATIKA
Publisher : MATEMATIKA FSM, UNDIP

#### Abstract

Regular ring R is a nonempty set with two binary operations that satisfied ring axioms and qualifies for any x in R there is y in R such that x=xyx. Regular ring R Ìƒ is a ring of the set of endomorphism R^+ with identity. For any regular ring R and R' can be defined a bijective mapping from R to R' that satisfies ring homomorphism axioms or in the otherwords that mapping is an isomorphism from R to R'. By using the concept of regular ring and ring isomorphism can be determined extension of regular ring. Regular ring R is said to be embedded in regular ring R^R ÌƒÂ  if there exists a subring R^0 of R^R ÌƒÂ  such that R is isomorphic to R^0. Furthermore, regular ring R^R ÌƒÂ  can be said as an extension of regular ring R.