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YD Sumanto
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Journal : jurnal matematika

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

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (289.445 KB)

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 ̃ 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 ̃  if there exists a subring R^0 of R^R ̃  such that R is isomorphic to R^0. Furthermore, regular ring R^R ̃  can be said as an extension of regular ring R.
PERLUASAN DARI RING REGULAR Devi Anastasia Shinta; YD Sumanto
Jurnal Matematika Vol 2, No 3 (2013): JURNAL MATEMATIKA
Publisher : MATEMATIKA FSM, UNDIP

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (289.445 KB)

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 ̃ 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 ̃  if there exists a subring R^0 of R^R ̃  such that R is isomorphic to R^0. Furthermore, regular ring R^R ̃  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 Meiliana Purwandani; YD Sumanto
Jurnal Matematika Vol 3, No 4 (2014): JURNAL MATEMATIKA
Publisher : MATEMATIKA FSM, UNDIP

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (472.697 KB)

Abstract

 . 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  and , written as , such that , for all  and . A -semigroup is said to be intra-regular if contains for all elements of intra regular, is if , for all  and . In this paper, discussed about intra-regular -semigroup and the relation based on bi-ideals, quasi-ideals, and ideals right and left. 
Co-Authors Abdul Aziz Ayu Puspitasari, Ayu Devi Anastasia Shinta Meiliana Purwandani Muntoyimah, Nok Robertus Heri Sulistyo Utomo Saputro, Razis Aji Saputro, Razis Aji Solikhin Solikhin susilo hariyanto Utomo, R. Heri Soelistyo Utomo, R. Heri Soelistyo Yundari, Yundari