Hilbert Implication Algebra and Some Properties | Zendy

Gerima Tefera | Zendy

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Hilbert Implication Algebra and Some Properties

Author(s) -

Gerima Tefera

Publication year - 2021

Publication title -

journal of applied mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.307

H-Index - 43

eISSN - 1687-0042

pISSN - 1110-757X

DOI - 10.1155/2021/3635185

Subject(s) - mathematics , hilbert's basis theorem , hilbert's fourteenth problem , algebra over a field , hilbert–poincaré series , hilbert series and hilbert polynomial , pure mathematics , commutative property , hilbert space , rigged hilbert space , unitary operator

The concepts of Hilbert implication algebra and generalized Hilbert implication algebra are introduced. The comparison theorem of Hilbert implication algebra and generalized Hilbert implication algebra is proved. In addition, the idea of groupoid and commutative Hilbert implication algebras is investigated. Ideals and filters in Hilbert implication algebras are also discussed. In general, different theorems which show different properties are proved.

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