• Communications of the Korean Mathematical Society
• /
• v.8 no.3
• /
• pp.361-371
• /
• 1993

• Bulletin of the Korean Mathematical Society
• /
• v.36 no.4
• /
• pp.649-654
• /
• 1999

We consider the forgetful map from the group of equivariant self equivalences to the group of non-equivariant self equivalences. A sufficient condition for this forgetful map being a monomorphism is obtained. Several examples are given.

• Journal of the Korean Mathematical Society
• /
• v.51 no.6
• /
• pp.1177-1187
• /
• 2014

In the current paper we study absolutely pure representations of quivers. Then over some nice quivers including linear quivers some sufficient conditions guaranteeing a representation to be absolutely pure is characterized. Furthermore some relations between atness and absolute purity is investigated. Finally it is shown that the absolutely pure covering of representations of linear quivers (including $A^-_{\infty}$, $A^+_{\infty}$ and $A^{\infty}_{\infty}$) by R-modules whenever R is a coherent ring exists.

• East Asian mathematical journal
• /
• v.17 no.2
• /
• pp.275-286
• /
• 2001

In this paper, a skew polynomial ring $R[x;\alpha]$ of a ring R with a monomorphism $\alpha$ are investigated as follows: For a reduced ring R, assume that $\alpha(P){\subseteq}P$ for any minimal prime ideal P in R. Then (i) $R[x;\alpha]$ is a reduced ring, (ii) a ring R is Baer(resp. quasi-Baer, p.q.-Baer, a p.p.-ring) if and only if the skew polynomial ring $R[x;\alpha]$ is Baer(resp. quasi-Baer, p.q.-Baer, a p.p.-ring).

• Honam Mathematical Journal
• /
• v.37 no.3
• /
• pp.269-279
• /
• 2015

Atanassov introduced another fuzzy object, called intu- itionistic fuzzy set as a generalization of the concept of fuzzy subset. The aim of this paper is the elaboration of a representation theory of involutive interval-valued Łukasiewicz-Moisil algebras by using the notion of intuitionistic fuzzy sets.

• Bulletin of the Korean Mathematical Society
• /
• v.59 no.1
• /
• pp.213-226
• /
• 2022

Let R be a ring and M an R-module. Then M is said to be regular w-flat provided that the natural homomorphism I ⊗_R M → R ⊗_R M is a w-monomorphism for any regular ideal I. We distinguish regular w-flat modules from regular flat modules and w-flat modules by idealization constructions. Then we give some characterizations of total quotient rings and Prüfer v-multiplication rings (PvMRs for short) utilizing the homological properties of regular w-flat modules.

• Kyungpook Mathematical Journal
• /
• v.62 no.4
• /
• pp.641-655
• /
• 2022

A right R-module N is called pseudo semisimple-M-injective if for any monomorphism from every semisimple submodule of M to N, can be extended to a homomorphism from M to N. In this paper, we study some properties of pseudo semisimple-injective modules. Moreover, some results of pseudo semisimple-injective modules over formal triangular matrix rings are obtained.

• Journal of Sericultural and Entomological Science
• /
• v.37 no.1
• /
• pp.16-26
• /
• 1995

DNA restriction fragment length polymorphisms(RFLPs) were used for the classification of 22 leading silkworm races and wild silkworm, Bombyx mandarina. A genomic DNA library from silkworm was partially constructed and was prescreened to evaluate the selected DNA probes. Three DNA probes (SP1-13, SP1-28, 10-42) were selected to determine the polymorphism between silkworm races. As a result, high polymorphism with the probe SP1-28, moderate polymorphism with SP1-13 and monomorphism with 10-42 were obse-rbed.

• Bulletin of the Korean Mathematical Society
• /
• v.52 no.2
• /
• pp.549-556
• /
• 2015

In this paper, we characterize w-Noetherian modules in terms of polynomial modules and w-Nagata modules. Then it is shown that for a finite type w-module M, every w-epimorphism of M onto itself is an isomorphism. We also define and study the concepts of w-Artinian modules and w-simple modules. By using these concepts, it is shown that for a w-Artinian module M, every w-monomorphism of M onto itself is an isomorphism and that for a w-simple module M, $End_RM$ is a division ring.

• Bulletin of the Korean Mathematical Society
• /
• v.50 no.2
• /
• pp.389-398
• /
• 2013

Let R be a ring and $\mathcal{Q}$ be a quiver. In this paper we give another definition of purity in the category of quiver representations. Under such definition we prove that the class of all pure injective representations of $\mathcal{Q}$ by R-modules is preenveloping. In case $\mathcal{Q}$ is a left rooted semi-co-barren quiver and R is left Noetherian, we show that every cotorsion flat representation of $\mathcal{Q}$ is pure injective. If, furthermore, R is $n$-perfect and $\mathcal{F}$ is a flat representation $\mathcal{Q}$, then the pure injective dimension of $\mathcal{F}$ is at most $n$.