http://chineseinput.net/에서 pinyin(병음)방식으로 중국어를 변환할 수 있습니다.
변환된 중국어를 복사하여 사용하시면 됩니다.
Self-distributive Modular Pogroupoids and Posets
J. Neggers ...et al KYUNGPOOK UNIVERSITY 1998 Kyungpook mathematical journal Vol.38 No.2
In this paper we showthat the modular pogroupoi (semigroup) S(·) is a self-distributive iff its associated poset S(≤) is (?⊕?)-free.
Incomparability and Transitivity
J. NEGGERS,YOUNG HEE KIM,HEE SIK KIM 경북대학교 자연과학대학 수학과 2002 Kyungpook mathematical journal Vol.42 No.1
In this paper we discuss a dimension (parallel dimension) of pogroupoids associated with posets and relate it to their pogroupoid algebras. This dimension is also an invariant of the incomparability graph (Harris diagram) of the poset under graph isomorphism (incomparability preserving bijection or bijective Harris mappings on the poset). This bijective mappings include but are not restructed to order-isomorphisms and provide other insights into the structure of the poset from the diagram point of view.
Extensions of L-fuzzy Ideals in Semirings
J. Neggers ...et al KYUNGPOOK UNIVERSITY 1998 Kyungpook mathematical journal Vol.38 No.1
We characterize L-fuzzy ideals in semirings and extensions of such ideals with the sup-property.
The Fascinating Interplay between Growth Hormone, Insulin-Like Growth Factor-1, and Insulin
Aart J. van der Lely,Eline C. Nijenhuis-Noort,Kirsten A. Berk,Sebastian J. C. M. M. Neggers 대한내분비학회 2024 Endocrinology and metabolism Vol.39 No.1
This review intends to provide the reader with a practical overview of several (patho)physiological conditions in which knowledge of the interplay between growth hormone (GH), insulin-like growth factor-1 (IGF-1), and insulin is important. This might help treating physicians in making the right decisions on how to intervene and improve metabolism for the benefit of patients, and to understand why and how metabolism responds in their specific cases. We will specifically address the interplay between GH, IGF-1, and insulin in type 1 and 2 diabetes mellitus, liver cirrhosis, and acromegaly as examples in which this knowledge is truly necessary.
Deformations of d/BCK-algebras
Paul J. Allen,김희식,Joseph Neggers 대한수학회 2011 대한수학회보 Vol.48 No.2
In this paper, we study the effects of a deformation mapping on the resulting deformation d/BCK-algebra obtained via such a deformation mapping. Besides providing a method of constructing d-algebras from BCK-algebras, it also highlights the special properties of the standard BCK-algebras of posets as opposed to the properties of the class of divisible d/BCK-algebras which appear to be of interest and which form a new class of d/BCK-algebras insofar as its not having been identified before.
Ideal Theory in Commutative A-semirings
Allen, Paul J.,Neggers, Joseph,Kim, Hee Sik Department of Mathematics 2006 Kyungpook mathematical journal Vol.46 No.2
In this paper, we investigate and characterize the class of A-semirings. A characterization of the Thierrin radical of a proper ideal of an A-semiring is given. Moreover, when P is a Q-ideal in the semiring R, it is shown that P is primary if and only if R/P is nilpotent.
DEFORMATIONS OF d/BCK-ALGEBRAS
Allen, Paul J.,Kim, Hee-Sik,Neggers, Joseph Korean Mathematical Society 2011 대한수학회보 Vol.48 No.2
In this paper, we study the effects of a deformation mapping on the resulting deformation d/BCK-algebra obtained via such a deformation mapping. Besides providing a method of constructing d-algebras from BCK-algebras, it also highlights the special properties of the standard BCK-algebras of posets as opposed to the properties of the class of divisible d/BCK-algebras which appear to be of interest and which form a new class of d/BCK-algebras insofar as its not having been identified before.
BRACKET FUNCTIONS ON GROUPOIDS
Allen, Paul J.,Kim, Hee Sik,Neggers, Joseph Korean Mathematical Society 2019 대한수학회논문집 Vol.34 No.2
In this paper, we introduce an operation denoted by [$Br_e$], a bracket operation, which maps an arbitrary groupoid ($X,{\ast}$) on a set X to another groupoid $(X,{\bullet})=[Br_e](X,{\ast})$ which on groups corresponds to sending a pair of elements (x, y) of X to its commutator $xyx^{-1}y^{-1}$. When applied to classes such as d-algebras, BCK-algebras, a variety of results is obtained indicating that this construction is more generally useful than merely for groups where it is of fundamental importance.