Soju Filters in Hoop Algebras

, , &
Bulletin of the Section of Logic (forthcoming)
  Copy   BIBTEX

Abstract

The notions of soju filters in a hoop algebra are introduced, and related properties are investigated. Relations between a soju sub-hoop, a soju filter and an implicative soju filter are discussed. Conditions for a soju filter to be implicative are displayed, and characterizations of an implicative soju filters are considered. The extension property of an implicative soju filter is established.

Categories

Add categories

Keywords

Reprint years

DOI

10.18778/0138-0680.2020.28

Links

PhilArchive



    Upload a copy of this work     Papers currently archived: 91,783

External links

Setup an account with your affiliations in order to access resources via your University's proxy server

Through your library

My notes

Similar books and articles

Positive Implicative Soju Ideals in BCK-Algebras.Xiao Long Xin, Rajab Ali Borzooei & Young Bae Jun - 2019 - Bulletin of the Section of Logic 48 (1).
On (∈, ∈ ∨ q)‐fuzzy filters of R0‐algebras.Xueling Ma, Jianming Zhan & Young B. Jun - 2009 - Mathematical Logic Quarterly 55 (5):493-508.
n -fold filters in BL-algebras.Masoud Haveshki & Esfandiar Eslami - 2008 - Mathematical Logic Quarterly 54 (2):176-186.
On Special Implicative Filters.Josep Maria Font - 1999 - Mathematical Logic Quarterly 45 (1):117-126.
On -fuzzy filters ofR0-algebras.Xueling Ma, Jianming Zhan & Young B. Jun - 2009 - Mathematical Logic Quarterly 55 (5):493-508.
On the free implicative semilattice extension of a Hilbert algebra.Sergio A. Celani & Ramon Jansana - 2012 - Mathematical Logic Quarterly 58 (3):188-207.
Radical of filters in BL -algebras.Somayeh Motamed, Lida Torkzadeh, Arsham Borumand Saeid & Neda Mohtashamnia - 2011 - Mathematical Logic Quarterly 57 (2):166-179.
Jugaku No Mokuteki to Soju No Katsudo.Tetsuji Morohashi - 1930 - Taishukan Shoten.
Subordination Tarski algebras.Sergio A. Celani - 2019 - Journal of Applied Non-Classical Logics 29 (3):288-306.
Towards an Algebraic Semantics for Implicatives.R. Zuber - 2020 - Journal of Logic, Language and Information 29 (4):525-538.
Combinatorial properties of filters and open covers for sets of real numbers.Claude Laflamme & Marion Scheepers - 1999 - Journal of Symbolic Logic 64 (3):1243-1260.
Some results in BL ‐algebras.Arsham Borumand Saeid & Somayeh Motamed - 2009 - Mathematical Logic Quarterly 55 (6):649-658.
Filters on Computable Posets.Steffen Lempp & Carl Mummert - 2006 - Notre Dame Journal of Formal Logic 47 (4):479-485.
A topology induced by uniformity on BL‐algebras.Masoud Haveshki, Esfandiar Eslami & Arsham Borumand Saeid - 2007 - Mathematical Logic Quarterly 53 (2):162-169.
Multipliers in implicative algebras.Janis Cirulis - 1986 - Bulletin of the Section of Logic 15 (4):152-157.

Analytics

Added to PP
2020-12-31

Downloads
13 (#1,034,116)

6 months
7 (#425,099)

Historical graph of downloads
How can I increase my downloads?

Citations of this work

No citations found.

Add more citations

References found in this work

No references found.

Add more references