6 papers
Quasi S-n-ideals in commutative semirings
Amaresh Mahato, Saikat Das, Manasi Mandal +1
Let be a commutative semiring with unity , and let be a proper multiplicatively closed subset of . In this paper, we introduce the notion of quasi --idea…
On Strongly --clean ring
Saikat Das, Sukhendu Kar
Motivated by the recent study of strongly -clean rings, we introduce and study strongly --clean rings. We establish their fundamental properties and characterize strongly…
On Quasi-Nil Clean Rings
Saikat Das, Sukhendu Kar
In this paper, we introduce a new type of ring, called quasi-nil clean ring, where each element of the ring is the sum of a quasi-idempotent and a nilpotent element. We also invest…
Graded m-nil clean ring
Saikat Das, Sukhendu Kar
In this paper, we introduce the concept of graded m-nil clean ring to extend the existing notion of graded nil-clean ring introduced in [10]. We explore fundamental properties of t…
A triangular decomposition for the crystal lattice of quantized function algebras
Saikat Das, Ayan Dey, Arup Kumar Pal
We prove a triangular decomposition theorem for the lower crystal lattice of the quantized function algebra , where is a con…
On representations of the crystallization of the quantized function algebra C(SUq(n + 1))
Saikat Das, Ayan Dey
The crystal limit C(K0) of the -family of C*-algebras C(Kq) was introduced by Giri & Pal for all K=SU(n+1), n\geq 2. This article aims to prove that the crystal limits C(K0) hav…