• 충청수학회지
• /
• 제12권1호
• /
• pp.103-111
• /
• 1999

In this paper, we introduce a generalized regular homomorphism as the extending notion of the regular homomorphism.

• Korean Journal of Mathematics
• /
• 제9권2호
• /
• pp.99-104
• /
• 2001

We give the characterization of left(right) semi-regular $po$-semigroups and $Ve$-semigroups.

• 한국수학교육학회지시리즈A:수학교육
• /
• 제46권3호
• /
• pp.303-314
• /
• 2007

In this paper we try to study a method of constructing plane sections of regular tetrahedron and regular hexahedron. In order to construct plane sections of regular tetrahedron and regular hexahedron first of all, we extract some base problems that are used for construction. And we describe construction process using base problems in detail.

• Kyungpook Mathematical Journal
• /
• 제61권3호
• /
• pp.671-677
• /
• 2021

For a distance-regular graph with valency k, second largest eigenvalue r and diameter D, it is known that r ≥ $min\{\frac{{\lambda}+\sqrt{{\lambda}^2+4k}}{2},\;a_3\}$ if D = 3 and r ≥ $\frac{{\lambda}+\sqrt{{\lambda}^2+4k}}{2}$ if D ≥ 4, where λ = a₁. This result can be generalized to the class of edge-regular graphs. For an edge-regular graph with parameters (v, k, λ) and diameter D ≥ 4, we compare $\frac{{\lambda}+\sqrt{{\lambda}^2+4k}}{2}$ with the local valency λ to find a relationship between the second largest eigenvalue and the local valency. For an edge-regular graph with diameter 3, we look at the number $\frac{{\lambda}-\bar{\mu}+\sqrt{({\lambda}-\bar{\mu})^2+4(k-\bar{\mu})}}{2}$, where $\bar{\mu}=\frac{k(k-1-{\lambda})}{v-k-1}$, and compare this number with the local valency λ to give a relationship between the second largest eigenvalue and the local valency. Also, we apply these relationships to distance-regular graphs.

• 충청수학회지
• /
• 제22권3호
• /
• pp.293-297
• /
• 2009

We will introduce some properties of strongly reduced near-rings and the notion of left $\pi$-regular near-ring. Also, we will study for right $\pi$-regular, strongly left $\pi$-regular, strongly right $\pi$-regular and strongly $\pi$- regular. Next, we may characterize the strongly $\pi$-regular near-rings with related strong reducibility.

• 대한수학회논문집
• /
• 제33권1호
• /
• pp.1-12
• /
• 2018

We introduce the notion of ordered intra k-regular semirings, characterize them using their ordered k-ideals and prove that an ordered semiring S is both ordered k-regular and ordered intra k-regular if and only if every ordered quasi k-ideal or every ordered k-bi-ideal of S is ordered k-idempotent.

• Kyungpook Mathematical Journal
• /
• 제60권2호
• /
• pp.307-318
• /
• 2020

This article concerns the class of rings which satisfy the property of inserting regular elements at zero products, and rings with such property are called regular-IFP. We study the structure of regular-IFP rings in relation to various ring properties that play roles in noncommutative ring theory. We investigate conditions under which the regular-IFPness pass to polynomial rings, and equivalent conditions to the regular-IFPness.

• 충청수학회지
• /
• 제19권4호
• /
• pp.365-373
• /
• 2006

In this paper four regular relations, R, $L^*$, $M^*$ and $Q^*$ in a transformation group (X, T) are defined and some of their properties are studied.

• East Asian mathematical journal
• /
• 제31권4호
• /
• pp.483-503
• /
• 2015

While some studies have examined the concave and convex regular polygons respectively, very little work has been done to integrate and restructure polygon shapes. Therefore, this study aims to systematically reclassify the regular polygons on the through a comprehensive analysis of previous studies on the convex and concave regular polygons. For this study, the polygon's consistency with respect to the number of sides and angles was examined. Second, the consistency on the number of diagonals was also examined. Third, the size of the interior and exterior angels of regular polygons was investigated in order to discover the consistent properties. Fourth, the consistency concerning the area in regular polygons was inspected. Last, the consistency of the central figure number in the "k-th" regular polygons was examined. Given these examinations, this study suggests a way to create a concave regular polygon from a convex regular polygon.

• Korean Journal of Mathematics
• /
• 제10권2호
• /
• pp.117-122
• /
• 2002

In this paper, we give some properties of left(right) semi-regular and $g$-regular $po$-semigroups.