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Honam Mathematical Journal
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The Honam Mathematical Society
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Volume & Issues
Volume 37, Issue 4 - Dec 2015
Volume 37, Issue 3 - Sep 2015
Volume 37, Issue 2 - Jun 2015
Volume 37, Issue 1 - Mar 2015
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CONVOLUTION SUMS OF ODD AND EVEN DIVISOR FUNCTIONS II
KIM, DAEYEOUL ;
Honam Mathematical Journal, volume 37, issue 2, 2015, Pages 149~185
DOI : 10.5831/HMJ.2015.37.2.149
denote the sum of sth powers of the positive divisors of N. In this article, we consider the convolution sums of four divisor functions.
ON INTERVAL-VALUED FUZZY LATTICES
LEE, JEONG GON ; HUR, KUL ; LIM, PYUNG KI ;
Honam Mathematical Journal, volume 37, issue 2, 2015, Pages 187~205
DOI : 10.5831/HMJ.2015.37.2.187
We discuss the relationship between interval-valued fuzzy ideals and interval-valued fuzzy congruence on a distributive lattice L and show that for a generalized Boolean algebra the lattice of interval-valued fuzzy ideals is isomorphic to the lattice of interval-valued fuzzy congruences. Finally we consider the products of interval-valued fuzzy ideals and obtain a necessary and sufficient condition for an interval-valued fuzzy ideal on the direct sum of lattices to be representable as a direct sum of interval-valued fuzzy ideals on each lattice.
ON PSEUDO BH-ALGEBRAS
JUN, YOUNG BAE ; AHN, SUN SHIN ;
Honam Mathematical Journal, volume 37, issue 2, 2015, Pages 207~219
DOI : 10.5831/HMJ.2015.37.2.207
As a generalization of BH-algebras, the notion of pseudo BH-algebra is introduced, and some of their properties are investigated. The notions of pseudo ideals, pseudo atoms, pseudo strong ideals, and pseudo homomorphisms in pseudo BH-algebras are introduced. Characterizations of their properties are provided. We show that every pseudo homomorphic image and preimage of a pseudo ideal is also a pseudo ideal. Any pseudo ideal of a pseudo BH-algebra can be decomposed into the union of some sets. The notion of pseudo complicated BH-algebra is introduced and some related properties are obtained.
MIGHTY FILTERS IN BE-ALGEBRAS
LEE, HYE RAN ; AHN, SUN SHIN ;
Honam Mathematical Journal, volume 37, issue 2, 2015, Pages 221~233
DOI : 10.5831/HMJ.2015.37.2.221
The notion of a mighty (vague) filter in a BE-algebra is introduced, and the relation between a (vague) filter and a mighty (vague) filter are given. We investigate an equivalent condition for a (vague) filter to be mighty, and state an extension property for mighty filter. Also we define the notion of an n-fold mighty filter which is an extended notion of a mighty filter in a BE-algebra. Characterizations of an n-fold mighty filter are given. Extension property for an n-fold mighty filter are provided.
RASMUSSEN INVARIANTS OF SOME 4-STRAND PRETZEL KNOTS
KIM, SE-GOO ; YEON, MI JEONG ;
Honam Mathematical Journal, volume 37, issue 2, 2015, Pages 235~244
DOI : 10.5831/HMJ.2015.37.2.235
It is known that there is an infinite family of general pretzel knots, each of which has Rasmussen s-invariant equal to the negative value of its signature invariant. For an instance, homologically
-thin knots have this property. In contrast, we find an infinite family of 4-strand pretzel knots whose Rasmussen invariants are not equal to the negative values of signature invariants.
NEW LAPLACE TRANSFORMS FOR THE GENERALIZED HYPERGEOMETRIC FUNCTION
KIM, YONG SUP ; RATHIE, ARJUN K. ; LEE, CHANG HYUN ;
Honam Mathematical Journal, volume 37, issue 2, 2015, Pages 245~252
DOI : 10.5831/HMJ.2015.37.2.245
This paper is in continuation of the paper very recently published [New Laplace transforms of Kummer's confluent hypergeometric functions, Math. Comp. Modelling, 55 (2012), 1068-1071]. In this paper, our main objective is to show one can obtain so far unknown Laplace transforms of three rather general cases of generalized hypergeometric function
by employing generalized Watson's, Dixon's and Whipple's summation theorems for the series
obtained earlier in a series of three research papers by Lavoie et al. [5, 6, 7]. The results established in this paper may be useful in theoretical physics, engineering and mathematics.
SMARANDACHE CURVES OF SOME SPECIAL CURVES IN THE GALILEAN 3-SPACE
ABDEL-AZIZ, H.S. ; KHALIFA SAAD, M. ;
Honam Mathematical Journal, volume 37, issue 2, 2015, Pages 253~264
DOI : 10.5831/HMJ.2015.37.2.253
In the present paper, we consider a position vector of an arbitrary curve in the three-dimensional Galilean space
. Furthermore, we give some conditions on the curvatures of this arbitrary curve to study special curves and their Smarandache curves. Finally, in the light of this study, some related examples of these curves are provided and plotted.
POWERS OF THE AUGMENTATION IDEAL OF A CYCLIC GROUP RING
LEE, JOONGUL ;
Honam Mathematical Journal, volume 37, issue 2, 2015, Pages 265~267
DOI : 10.5831/HMJ.2015.37.2.265
Let G be a cyclic group of prime power order. There is a natural embedding of
[G] into a product of rings of integers of cyclotomic fields. In this paper we determine the image of powers of the augmentation ideal.