scholarly journals On a Q-Smarandache fuzzy commutative ideal of a Q-Smarandache BH-algebra

2016 ◽  
Vol 10 ◽  
pp. 381-391
Author(s):  
Husein Hadi Abbass ◽  
Qasim Mohsin Luhaib
Keyword(s):  
Commutative Ideal

Commutative ideal extensions of Abelian groups

2001 ◽  
Vol 62 (2) ◽  
pp. 311-316 ◽  
Author(s):  
J. C. Rosales ◽  
P. A. García-Sánchez ◽  
J. I. García-García
Keyword(s):  
Abelian Groups ◽  
Commutative Ideal

scholarly journals Commutative ideal theory without finiteness conditions: Primal ideals

2004 ◽  
Vol 357 (7) ◽  
pp. 2771-2798 ◽  
Author(s):  
Laszlo Fuchs ◽  
William Heinzer ◽  
Bruce Olberding
Keyword(s):  
Ideal Theory ◽  
Finiteness Conditions ◽  
Commutative Ideal

scholarly journals Onn-fold fuzzy implicative/commutative ideals of BCK-algebras

2001 ◽  
Vol 27 (7) ◽  
pp. 419-424 ◽  
Author(s):  
Young Bae Jun
Keyword(s):  
Extension Property ◽  
Commutative Ideal

We consider the fuzzification of the notion of ann-fold implicative ideal, ann-fold (weak) commutative ideal. We give characterizations of ann-fold fuzzy implicative ideal. We establish an extension property forn-fold fuzzy commutative ideals.

scholarly journals Abstract commutative ideal theory

1962 ◽  
Vol 12 (2) ◽  
pp. 481-498 ◽  
Author(s):  
R. P. Dilworth
Keyword(s):  
Ideal Theory ◽  
Commutative Ideal

Symmetric ring property on nil ideals

2018 ◽  
Vol 17 (01) ◽  
pp. 1850013
Author(s):  
Tai Keun Kwak ◽  
Yang Lee ◽  
Zhelin Piao ◽  
Young Joo Seo
Keyword(s):  
Ideal Theory ◽  
Ring Theory ◽  
Noncommutative Rings ◽  
Commutative Ideal ◽  
Ring Extensions ◽  
Lattice Of Ideals

The usual commutative ideal theory was extended to ideals in noncommutative rings by Lambek, introducing the concept of symmetric. Camillo et al. naturally extended the study of symmetric ring property to the lattice of ideals, defining the new concept of an ideal-symmetric ring. This paper focuses on the symmetric ring property on nil ideals, as a generalization of an ideal-symmetric ring. A ring [Formula: see text] will be said to be right (respectively, left) nil-ideal-symmetric if [Formula: see text] implies [Formula: see text] (respectively, [Formula: see text]) for nil ideals [Formula: see text] of [Formula: see text]. This concept generalizes both ideal-symmetric rings and weak nil-symmetric rings in which the symmetric ring property has been observed in some restricted situations. The structure of nil-ideal-symmetric rings is studied in relation to the near concepts and ring extensions which have roles in ring theory.

Commutative ideal extensions of abelian groups

1999 ◽  
Vol 33 (3) ◽  
pp. 16
Author(s):  
J. I. García-García ◽  
P. A. García Sánchez ◽  
J. C. Rosales
Keyword(s):  
Abelian Groups ◽  
Commutative Ideal

The structure of commutative ideal semigroups

1995 ◽  
Vol 50 (1) ◽  
pp. 295-300
Author(s):  
Karen D. Aucoin
Keyword(s):  
Commutative Ideal

Uni-Soft Commutative Ideals and Closed Uni-Soft Ideals in BCI-Algebras

2018 ◽  
Vol 14 (02) ◽  
pp. 235-247 ◽  
Author(s):  
Hashem Bordbar ◽  
Rajab Ali Borzooei ◽  
Young Bae Jun
Keyword(s):  
Commutative Ideal

The notions of uni-soft commutative ideals and closed uni-soft ideals in [Formula: see text]-algebras are introduced, and related properties are investigated. Conditions for a uni-soft ideal to be closed are provided. Relations between a uni-soft ideal and a uni-soft commutative ideal are investigated. Conditions for a uni-soft ideal to be a uni-soft commutative ideal are provided. A new uni-soft commutative ideal from an old one is constructed.

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