Treatment of Operator Algebras through Cohomology Theory

Noreldeen, Alaa Hassan

doi:10.18576/isl/090101

Search citation statements

Order By: Relevance

Paper Sections

Select...

Homology Theory Of Algebras1

Concerning1

Citation Types

Supporting

Mentioning

Contrasting

Year Published

2021

2023

Publication Types

Select...

Article1

Book1

Relationship

Self Cite0

Independent2

Authors

Journals

Cited by 2 publications

(2 citation statements)

References 1 publication

Supporting

Mentioning

Contrasting

Order By: Relevance

“…We present both the Hochschild homology and the cyclic homology definitions of the polynomial. The Morita Invariance is introduced for simplicial and cyclic homology more detail see ( [19], [20], [21]).…”

Section: Homology Theory Of Algebrasmentioning

confidence: 99%

See 1 more Smart Citation

The Theory of Pure Algebraic (Co)Homology

Noreldeen¹,

Wageeda²,

Fathy³

2021

View full text Add to dashboard Cite

Polynomial: algebra is essential in commutative algebra since it can serve as a fundamental model for differentiation. For module differentials and Loday's differential commutative graded algebra, simplified homology for polynomial algebra was defined. In this article, the definitions of the simplicial, the cyclic, and the dihedral homology of pure algebra are presented. The definition of the simplicial and the cyclic homology is presented in the Algebra of Polynomials and Laurent's Polynomials. The long exact sequence of both cyclic homology and simplicial homology is presented. The Morita invariance property of cyclic homology was submitted. The relationship ℋ∁ ( ) ≅ ℋ ( ) ⊕ ℋ −

show abstract

Section: Homology Theory Of Algebrasmentioning

confidence: 99%

“…The polynomial can be expressed using the matrix if all its coefficients are matrix and called polynomial matrices [19]. It can be mathematically expressed as follows:…”

Section: Concerningmentioning

confidence: 99%