Decomposition Of Intuitionistic Fuzzy Primary Ideals Of Γ-Rings
| dc.contributor.author | P. K. SHARMA | |
| dc.contributor.author | HEM LATA | |
| dc.contributor.author | NITIN BHARDWAJ | |
| dc.date.accessioned | 2026-02-12T09:24:04Z | |
| dc.date.available | 2026-02-12T09:24:04Z | |
| dc.date.issued | 2024 | |
| dc.description.abstract | ABSTRACT. In this paper, we establish the intuitionistic fuzzy version of the Lasker-Noether theorem for a commutative Γ-ring. We show that in a commutative Noetherian Γ-ring, every intuitionistic fuzzy ideal A can be decomposed as the intersection of a finite number of intuitionistic fuzzy irreducible ideals (primary ideals). This decomposition is called an intuitionistic fuzzy primary decomposition. Further, we show that in case of a minimal intuitionistic fuzzy primary decomposition of A, the set of all intuitionistic fuzzy associated prime ideals of A is independent of the particular decomposition. We also discuss some other fundamental results pertaining to this concept. | |
| dc.identifier.issn | 1843 - 441X | |
| dc.identifier.uri | http://davjalandhar.ndl.gov.in/handle/123456789/180 | |
| dc.language.iso | en | |
| dc.publisher | CREAT. MATH. INFORM. | |
| dc.title | Decomposition Of Intuitionistic Fuzzy Primary Ideals Of Γ-Rings | |
| dc.type | Article |
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