Melola Discovery

← Melola Discovery

Akses terbuka Jurnal SINTA 3

GARDNER PROBLEM REVISITED: FURTHER PROPERTIES OF INDAH RADICAL

BAREKENG: Jurnal Ilmu Matematika dan Terapan · Vol. 20 No. 3 (2026) · hlm. 2339–2348

DOI
10.30598/barekengvol20iss3pp2339-2348
ISSN
2615-3017, 1978-7227
Terbit
2026-04-08
Penerbit
PATTIMURA UNIVERSITY
Bahasa
eng
Lisensi
creativecommons.org/licenses/by-sa/4.0

Abstrak

Radical theory arises naturally from the study of non-commutative rings and plays a central role in the structural analysis of ring classes. Among the radical classes that have received considerable attention are the prime radical β and the IndaH radical, whose relationship is closely related to the Gardner conjecture. While several structural properties of β are well established, the corresponding properties of have remained less clear. In this paper, we investigate the IndaH radical using deductive arguments and structural analysis within the framework of radical theory. In particular, we examine whether satisfies corner-hereditariness, corner-strictness, very corner-hereditariness, and the hereditary phantom corner (HPC) property. We show that possesses all four properties, thereby placing it in closer structural alignment with the prime radical β. The results are obtained under standard assumptions on associative rings and radical classes.

Jaringan kolaborasi para penulis

13 penulis · 37 tautan kepenulisan bersama · 21 lintas organisasi

Arahkan kursor atau ketuk sebuah nama untuk menyorot rekan penulisnya. Klik dua kali untuk membuka halaman penulis.

  • Binus University
  • Universitas Ahmad Dahlan
  • Universiti Malaysia Terengganu
  • University of Jyväskylä
  • Jakarta State Polytechnic
  • Universitas Gadjah Mada
  • Afiliasi tidak diketahui
  • Organisasi berbeda
  • Organisasi sama
  • Afiliasi tidak diketahui
  • Garis lebih tebal = lebih banyak artikel bersama · lingkaran lebih besar = lebih banyak artikel
Tampilkan sebagai tabel
Rekan penulisOrganisasiArtikel bersama
Samsul ArifinBinus University2
I Gusti Agung Anom YudistiraBinus University2
Rinda NariswariBinus University2
Abdul Azis AbdillahJakarta State Polytechnic2
Umi MahmudahUniversiti Malaysia Terengganu1
Muhamad Safiih LolaUniversiti Malaysia Terengganu1
Sugiyarto SuronoUniversitas Ahmad Dahlan1
Annisa Eka HaryatiUniversitas Ahmad Dahlan1
Muhammad Amien IbrahimBinus University1
Nerru Pranuta MurnakaAfiliasi tidak diketahui1
Nanang SusyantoUniversitas Gadjah Mada1

Afiliasi berasal dari OpenAlex; metadata OAI-PMH jurnal tidak memuatnya. Penulis tanpa ID OpenAlex dicocokkan berdasarkan nama, sehingga dua orang bisa tergabung atau satu orang bisa terpisah.

Sumber metadata: OAI-PMH (metadata jurnal) https://ojs3.unpatti.ac.id/index.php/barekeng/oai, pertama di-harvest 5 Nov 2026, terakhir terlihat 8 Nov 2026.
Metadata asli (oai_dc) 
<oai_dc:dc xmlns="http://www.openarchives.org/OAI/2.0/" xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:oai_dc="http://www.openarchives.org/OAI/2.0/oai_dc/" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation="http://www.openarchives.org/OAI/2.0/oai_dc/  http://www.openarchives.org/OAI/2.0/oai_dc.xsd">
	<dc:title xml:lang="en-US">GARDNER PROBLEM REVISITED: FURTHER PROPERTIES OF INDAH RADICAL</dc:title>
	<dc:creator>Prasetyo, Puguh Wahyu</dc:creator>
	<dc:creator>Ardiyansyah, Muhammad</dc:creator>
	<dc:description xml:lang="en-US">Radical theory arises naturally from the study of non-commutative rings and plays a central role in the structural analysis of ring classes. Among the radical classes that have received considerable attention are the prime radical β and the IndaH radical , whose relationship is closely related to the Gardner conjecture. While several structural properties of β are well established, the corresponding properties of &amp;nbsp;have remained less clear. In this paper, we investigate the IndaH radical &amp;nbsp;using deductive arguments and structural analysis within the framework of radical theory. In particular, we examine whether &amp;nbsp;satisfies corner-hereditariness, corner-strictness, very corner-hereditariness, and the hereditary phantom corner (HPC) property. We show that &amp;nbsp;possesses all four properties, thereby placing it in closer structural alignment with the prime radical β. The results are obtained under standard assumptions on associative rings and radical classes.</dc:description>
	<dc:publisher xml:lang="en-US">PATTIMURA UNIVERSITY</dc:publisher>
	<dc:date>2026-04-08</dc:date>
	<dc:type>info:eu-repo/semantics/article</dc:type>
	<dc:type>info:eu-repo/semantics/publishedVersion</dc:type>
	<dc:format>application/pdf</dc:format>
	<dc:identifier>https://ojs3.unpatti.ac.id/index.php/barekeng/article/view/21435</dc:identifier>
	<dc:identifier>10.30598/barekengvol20iss3pp2339-2348</dc:identifier>
	<dc:source xml:lang="en-US">BAREKENG: Jurnal Ilmu Matematika dan Terapan; Vol 20 No 3 (2026): BAREKENG: Journal of Mathematics and Its Application; 2339-2348</dc:source>
	<dc:source>2615-3017</dc:source>
	<dc:source>1978-7227</dc:source>
	<dc:source>10.30598/barekengvol20iss3year2026</dc:source>
	<dc:language>eng</dc:language>
	<dc:relation>https://ojs3.unpatti.ac.id/index.php/barekeng/article/view/21435/12644</dc:relation>
	<dc:rights xml:lang="en-US">Copyright (c) 2026 Puguh Wahyu Prasetyo, Muhammad Ardiyansyah</dc:rights>
	<dc:rights xml:lang="en-US">http://creativecommons.org/licenses/by-sa/4.0</dc:rights>
</oai_dc:dc>