• Communications of the Korean Mathematical Society
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• v.23 no.3
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• pp.313-324
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• 2008

Molodtsov [8] introduced the concept of soft set as a new mathematical tool for dealing with uncertainties that is free from the difficulties that have troubled the usual theoretical approaches. In this paper we apply the notion of soft sets by Molodtsov to the theory of subtraction algebras. The notion of soft WS-algebras, soft subalgebras and soft deductive systems are introduced, and their basic properties are derived.

• Bulletin of the Korean Mathematical Society
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• v.51 no.2
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• pp.339-356
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• 2014

In this paper, we introduce and discuss the notion of $D_C$-projective modules over commutative rings, where C is a semidualizing module. This extends Gillespie and Ding, Mao's notion of Ding projective modules. The properties of $D_C$-projective dimensions are also given.

• Communications of the Korean Mathematical Society
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• v.31 no.2
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• pp.209-216
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• 2016

In this paper, we introduce the notion of symmetric bi-derivations of a B-algebra and investigate some related properties. We study the notion of symmetric bi-derivations of a 0-commutative B-algebra and state some related properties.

• Bulletin of the Korean Mathematical Society
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• v.39 no.4
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• pp.527-534
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• 2002

The weighted shifts have been made a central role in the study of κ-hyponormality for hyponormal and subnormal operators in discrete notion. In this note we discuss the κ-hyponormality of weighted translation semigroups with a symbol function in continuous notion.

• Honam Mathematical Journal
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• v.31 no.2
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• pp.157-166
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• 2009

Using more general form of the notion of quasi-coincidence of a fuzzy point with a fuzzy subset, the notion of ($({\in},{\in}{\bigvee}q_{\kappa})$)-fuzzy BCK-filters is introduced, and related properties are investigated. Many characterizations of ($({\in},{\in}{\bigvee}q_{\kappa})$)-fuzzy BCK-filters are provided. Relations between an ($({\in},{\in}{\bigvee}q_{\kappa})$)-fuzzy BCK-filter and a fuzzy BCK-filter are established.

• Honam Mathematical Journal
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• v.29 no.1
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• pp.41-54
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• 2007

In this paper, we introduce the notion of $g{\cdot}{\gamma}$-closed sets and study its basic properties. Also we introduce the notion of ${\gamma}-T_*$ spaces and investigate relationships among these spaces and ${\gamma}-T_i$ spaces (i = 0,1/2,1) due to Ogata [5].

• Journal of applied mathematics & informatics
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• v.20 no.1_2
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• pp.255-277
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• 2006

By means of the use of a triangular norm T, the notion of T-fuzzy hyperideals in hypernear-rings is stated, and basic properties are investigated. Moreover, the notion of Noetherian hypernear-rings is introduced, and its characterization is given. At last, the properties of quotient hypernear-rings and T-fuzzy characteristic hyper ideals are discussed.

• Journal of the Chungcheong Mathematical Society
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• v.22 no.2
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• pp.123-129
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• 2009

We introduce the notion of Smarandache GT-algebras, and the notion of Smarandache GT-filters of the Smarandache GT- algebra related to the Tarski algebra, and related some properties are investigated.

• Journal of the Chungcheong Mathematical Society
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• v.29 no.1
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• pp.171-176
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• 2016

In this article, we study various notions on multi-valued dynamical systems. We first investigate important tools to express the systems, and prove that the notion of chain recurrence is equivalent to the notion of nonwandering set on compact metric spaces.

• Korean Journal of Mathematics
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• v.21 no.1
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• pp.41-53
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• 2013

Antoine studied conditions which are connected to the question of Amitsur of whether or not a polynomial ring over a nil ring is nil, introducing the notion of nil-Armendariz rings. Hizem extended the nil-Armendariz property for polynomial rings onto power-series rings, say nil power-serieswise rings. In this paper, we introduce the notion of power-serieswise CN rings that is a generalization of nil power-serieswise Armendariz rings. Finally, we study the nil-Armendariz property for Ore extensions and skew power series rings.