• The Pure and Applied Mathematics
• /
• v.26 no.4
• /
• pp.233-245
• /
• 2019

Cyclic hypergroups are of great importance due to their applications to many field in mathematics. In this paper, we classify all polygroups of order less than six where each of its non-identity elements is a generator.

• Bulletin of the Korean Chemical Society
• /
• v.25 no.7
• /
• pp.1075-1077
• /
• 2004

• Bulletin of the Korean Mathematical Society
• /
• v.42 no.1
• /
• pp.149-155
• /
• 2005

The notion of U-exact sequence (or quasi-exact sequence) of modules was introduced by Davvaz and Parnian-Garamaleky as a generalization of exact sequences. In this paper, we prove further results about quasi-exact sequences. In particular, we give a generalization of Schanuel's Lemma. Also we obtain some relation-ship between quasi-exact sequences and superfluous (or essential) submodules.

• Journal of the Korean Mathematical Society
• /
• v.39 no.6
• /
• pp.881-898
• /
• 2002

Our aim in this paper is to introduce a generalization of some notions in homological algebra. We define the concepts of chain U-complex, U-homology, chain (U, U')-map, chain (U, U')-homotopy and $\mu$-functor. We also obtain some interesting results. We use these results to find a generalization of Lambek Lemma, Snake Lemma, Connecting Homomorphism and Exact Triangle.

• Fibers and Polymers
• /
• v.7 no.1
• /
• pp.79-84
• /
• 2006

This paper deals with the grey fabric deformation during relaxation. It investigates the effect of twist direction and twist liveliness on the 2/2 twill weave woven fabric distortion, during relaxation This experimental work shows that twist liveliness increases the natural tendency of the twill weave woven fabric to skew. In addition when the twist direction of the warp and weft is opposite to each other the bias curling occurs too.

• The Pure and Applied Mathematics
• /
• v.25 no.2
• /
• pp.115-125
• /
• 2018

In this paper, we introduce the notion of a clean ordered Krasner hyperring and investigate some properties of it. Now, let (R, +, ${\cdot}$, ${\leq}$) be a clean ordered Krasner hyperring. The following is a natural question to ask: Is there a strongly regular relation ${\sigma}$ on R for which $R/{\sigma}$ is a clean ordered ring? Our motivation to write the present paper is reply to the above question.

• Bulletin of the Korean Chemical Society
• /
• v.24 no.3
• /
• pp.400-402
• /
• 2003

• Bulletin of the Korean Chemical Society
• /
• v.25 no.6
• /
• pp.865-868
• /
• 2004

Aldehydes and ketones were converted to their corresponding acetals in the presence of silica-bound sulfuric acid in n-hexane under mild and heterogeneous conditions with excellent yields.

• Bulletin of the Korean Chemical Society
• /
• v.24 no.7
• /
• pp.1009-1010
• /
• 2003

• Honam Mathematical Journal
• /
• v.40 no.4
• /
• pp.661-669
• /
• 2018

In this paper, we introduce and study the notion of a pseudonorm on a generalized group. Let G be a topological generalized group and let the family $\{G_x\}_{x{\in}e(G)}$ be locally finite. Then, we show that G is completely regular. Also, some well known results are generalized.