Some remarks on hyper MV-algebras

被引：3

作者：

Borzooei, R. A. ^{[1
]}

Dudek, W. A. ^{[2
]}

Radfar, A. ^{[3
]}

Zahiri, O. ^{[1
]}

机构：

[1] Shahid Beheshti Univ, Dept Math, Tehran, Iran

[2] Wroclaw Univ Technol, Inst Math & Comp Sci, PL-50370 Wroclaw, Poland

[3] Payam Noor Univ, Dept Math, Tehran, Iran

来源：

JOURNAL OF INTELLIGENT & FUZZY SYSTEMS | 2014年 / 27卷 / 06期

关键词：

(proper) hyper MV-algebra; hyper K-algebra; deductive system; IDEALS;

D O I：

10.3233/IFS-141258

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

We describe relations between hyper MV-algebras and hyper K-algebras and prove that a finite hyper MV-algebra satisfying the condition 0 circle plus x = {x}, used by many authors, is in fact an ordinary MV-algebra. We also characterize relations between the main types of deductive systems of hyper MV-algebras.

引用

页码：2997 / 3005

页数：9

共 50 条

[21] Some results on topological MV-algebras
Yin, Leyao
Xie, Lihong
Yang, Jiang
TOPOLOGY AND ITS APPLICATIONS, 2025, 367
[22] Stone MV-algebras and strongly complete MV-algebras
Nganou, Jean B.
ALGEBRA UNIVERSALIS, 2017, 77 (02) : 147 - 161
[23] Some results in primary ideals of MV-algebras
Forouzesh, F.
Saeid, A. Borumand
2014 IRANIAN CONFERENCE ON INTELLIGENT SYSTEMS (ICIS), 2014,
[24] SOME RESULTS IN TYPES OF EXTENSIONS OF MV-ALGEBRAS
Forouzesh, F.
Sajadian, F.
Bedrood, M.
PUBLICATIONS DE L INSTITUT MATHEMATIQUE-BEOGRAD, 2019, 105 (119): : 161 - 177
[25] Strict MV-algebras
Ambrosio, R
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1999, 237 (01) : 320 - 326
[26] Hyperfinite MV-algebras
Belluce, L. P.
Di Nola, A.
Lenzi, G.
JOURNAL OF PURE AND APPLIED ALGEBRA, 2013, 217 (07) : 1208 - 1223
[27] Vectorial MV-algebras
Noje, D
Bede, B
SOFT COMPUTING, 2003, 7 (04) : 258 - 262
[28] On archimedean MV-algebras
Jakubík, J
CZECHOSLOVAK MATHEMATICAL JOURNAL, 1998, 48 (03) : 575 - 582
[29] Weak MV-algebras
Halas, Radomir
Plojhar, Lubos
MATHEMATICA SLOVACA, 2008, 58 (03) : 253 - 262
[30] POLYADIC MV-ALGEBRAS
SCHWARTZ, D
ZEITSCHRIFT FUR MATHEMATISCHE LOGIK UND GRUNDLAGEN DER MATHEMATIK, 1980, 26 (06): : 561 - 564

← 1 2 3 4 5 →