• Bulletin of the Korean Mathematical Society
• /
• v.42 no.2
• /
• pp.295-305
• /
• 2005

In this paper, we investigate exchange ideals and get some new characterization of exchange rings. It is shown that an ideal I of a ring R is an exchange ideal if and only if so is $QM_2$(I). Also we observe that every exchange ideal can be characterized by exchange elements.

• Communications of the Korean Mathematical Society
• /
• v.27 no.1
• /
• pp.1-6
• /
• 2012

In [K. J. Lee and C. H. Park, Some questions on fuzzifications of ideals in subtraction algebras, Commun. Korean Math. Soc. 22 (2007), no. 3, 359-363], Lee and Park posed three questions. In this paper, the affirmative answers to their questions are provided, and characterizations of fuzzy ideals are investigated.

• Journal of applied mathematics & informatics
• /
• v.12 no.1_2
• /
• pp.243-250
• /
• 2003

The fuzzification of (Positive implicative) pseudo-ideals in a pseudo-BCK algebra is discussed, and several properties are investigated. Characterizations of a fuzzy pseudo-ideal are displayed.

• Korean Journal of Mathematics
• /
• v.12 no.1
• /
• pp.49-54
• /
• 2004

In this paper we introduce the notion of quotient Boolean algebra and study the relation between the ideals of Boolean algebra ${\wp}(S)$ and the ideals of quotient Boolean algebra ${\wp}(S)/I$.

• Journal for History of Mathematics
• /
• v.14 no.2
• /
• pp.29-44
• /
• 2001

The concept of ideals has played an important role as an inception of the structural approach to algebra. As a sequel to [51], we first deal with the gradual emergence of tile abstract concepts of fields and rings, and study the history of ideals initiated fly Dedekind and then formalized by Noether for the structural research.

• Kyungpook Mathematical Journal
• /
• v.48 no.4
• /
• pp.577-584
• /
• 2008

The biideal structure in BCK/BCI-bialgebras is discussed. Relationships between sub-bialgebras, biideals and IC-ideals (and/or CI-ideals) are considered. Conditions for a biideal to be a sub-bialgebra are provided, and conditions for a subset to be a biideal (resp. IC-ideal, CI-ideal) are given.

• Proceedings of the Korean Institute of Intelligent Systems Conference
• /
• 1996.10a
• /
• pp.101-103
• /
• 1996

In this note we will discuss extension of fuzzy Lie subalgebra and fuzzy Lie ideals of a Lie algebra L on universal enveloping algebra U(L) of L and will study some relations among them.

• East Asian mathematical journal
• /
• v.26 no.5
• /
• pp.641-647
• /
• 2010

Various characterizations of (m, n)-fold p-ideals of weak BCC-algebras are presented.

• Bulletin of the Korean Mathematical Society
• /
• v.37 no.1
• /
• pp.1-19
• /
• 2000

We investigate in this paper the maximality of prime ideals in rings whose simple singular left R-modules are p-injective.

• Communications of the Korean Mathematical Society
• /
• v.34 no.1
• /
• pp.113-125
• /
• 2019

In this paper, we introduce the elimination ideal $I_D(G)$ associated to a simple finite graph G. We obtain the upper bound of Castelnuovo-Mumford regularity of elimination ideal for various classes of graphs.