5 papers
Structure and Invariants of Weyl-Type Algebras with Hyperbolic Sine Generators
Mohammad H. M Rashid
This paper introduces and systematically studies a class of Weyl-type algebras enriched with hyperbolic sine and power generators over a field of characteristic zero, defined as $A…
Structural and Classification Theorems for Weyl-Type Algebras over Expolynomial Rings
Mohammad H. M Rashid
This paper introduces and systematically studies Weyl-type, Witt-type, and non-associative algebras defined over expolynomial rings -- commutative rings generated by exponential fu…
Complete Structural Analysis of -Heisenberg Algebras: Homology, Rigidity, Automorphisms, and Deformations
Mohammad H. M Rashid
This paper establishes several fundamental structural properties of the -Heisenberg algebra , a quantum deformation of the classical Heisenberg algebra. We fi…
Weyl-Type and Witt-Type Algebras with Exponential Generators:Structure, Automorphisms, and Representation Theory
Mohammad H. M Rashid
This paper introduces and systematically studies a new class of non-commutative algebras -- Weyl-type and Witt-type algebras -- generated by differential operators with exponential…
Weyl-Type Algebras over Exponential-Polynomial Rings: Structure, Representations, and Deformations
Mohammad H. M. Rashid
This paper introduces and studies a class of Weyl-type algebras \(A_{p,t,\cA} = \Weyl{e^{\pm x^{p} e^{t x}},\; e^{\cA x},\; x^{\cA}}\) constructed over exponential-polynomial rings…