A Complete Ideals Derivation in Bcik – Algebras
Journal Title: International Journal of Trend in Scientific Research and Development - Year 2021, Vol 5, Issue 4
Abstract
In this paper, introduced a new notions of N sub algebras. closed, commutative, retrenched N ideals, negative functions, and translations are introduced, and related properties are investigated. Characterizations of an N sub algebra and a Commutative N ideal are given. Relations between an N sub algebra an N ideal and commutative N ideal are discussed. We verify that every translations of an N sub algebra resp. N ideal is a retrenched N sub algebra resp.retrenched N ideals . Already introduced a notationof prime ideal in BCIK – algebra show that it is equivalent to the last definition of prime ideal in lower BCIK – Semi lattices. Then we attempt to generalized some useful theorems about prime ideals, in BCIK algebras, instead of lower BCIK Semi lattices. We already investigate some results for PI lattices being a new classical of BCIK–lattices. Specially, we prove that any Boolean lattice is a PI lattice and we show that if X is a PI lattice with bounded commutative, then X is an involutory BCIK algebra if and only if X is a commutative BCIK algebra. Dr. S Rethina Kumar "A Complete Ideals Derivation in Bcik – Algebras" Published in International Journal of Trend in Scientific Research and Development (ijtsrd), ISSN: 2456-6470, Volume-5 | Issue-4 , June 2021, URL: https://www.ijtsrd.compapers/ijtsrd40040.pdf Paper URL: https://www.ijtsrd.commathemetics/algebra/40040/a-complete-ideals-derivation-in-bcik-–-algebras/dr-s-rethina-kumar
Authors and Affiliations
Dr. S Rethina Kumar
Keywords
Related Articles
- EP ID EP695763
- DOI -
- Views 91
- Downloads 0
Effects of Mirror Therapy MT and Modified Constraint Induced Movement Therapy on Improvement of Hand in Stroke Survivors A Comparative Study
INTRODUCTION CVA is a complex dysfunction caused by a lesion in the brain. The WHO defines stroke as an “acute neurologic dysfunction of vascular origin with symptoms and sign corresponding to the involvement of focal ar...
Academic Performance of the Grade VIII Pantawid Pamilyang Pilipino Program 4Ps Beneficiaries in Dipolog City Division South District
This study aimed to assess the academic performance of the Pantawid Pamilyang Pilipino Program 4Ps beneficiaries of the Grade VIII Students in Dipolog City Division South District. To find out the significant relationshi...
The Proper Use of Active and Passive Voice in Sentence Construction among First Year College Students of Andres Bonifacio College
The webinar workshop paper aims to develop students’ critical thinking skills in the proper use of active and passive voice in sentence construction of the first year nursing students in Andres Bonifacio College, Dipolog...
Assessment on Accumulation of Heavy Metals and its Effect on Liver Tissues of Harpodon Nehereus from Mumbai Coast of Maharashtra, India
"Heavy metal pollution is a very serious issue in the present world and is caused by release of toxic substances from industrial and domestic sources into the sea water leading to harm marine organisms. Marine fishes are...
Hawking and Climate Change: Irreversibility
As world star physicist Stephen Hawking recently remarked: global warming is close to becoming irreversible. The theory of global warming (GW) could not be more relevant for mankind, as irreversibility probably entails h...