Results 41 to 50 of about 386,092 (314)
We introduce a structure on a Garside group that we call Dehornoy structure and we show that an iteration of such a structure leads to a left-order on the group. We define two conditions on a Garside group [Formula: see text] and we show that if [Formula: see text] satisfies these two conditions, then [Formula: see text] has a Dehornoy structure. Then,
Diego Arcis, Luis Paris
openaire +2 more sources
A topology for a lattice-ordered group [PDF]
Let G be an arbitrary lattice-ordered group. We define a topology on G, called the J \mathcal {J} -topology, which is a group and lattice topology for G and which is preserved by cardinal products. The J
R. H. Redfield
core +1 more source
Abelization of join spaces of affine transformations of ordered field with proximity
Using groups of affine transformations of linearly ordered fields a certain construction of non-commutative join hypergroups is presented based on the criterion of reproducibility of semi-hypergroups which are determined by ordered semigroups. The aim of
Sárka Hosková
doaj +1 more source
ABSTRACT Cup‐like nuclei are a distinctive morphological feature observed in certain cases of acute lymphoblastic leukemia (ALL). We provide evidence that they characterize DUX4/ERG ALL independently of IKZF1 deletion and reveal marked mitochondrial accumulation in this ALL subset.
Chloé Arfeuille +9 more
wiley +1 more source
On orderability of topological groups
A necessary and sufficient condition for a topological group whose topology can be induced by a total order compatible with the group structure is given and such groups are called ordered or orderable topological groups.
G. Rangan
doaj +1 more source
L-ordered and L-lattice ordered groups [PDF]
This paper pursues an investigation on groups equipped with an $L$-ordered relation, where $L$ is a fixed complete complete Heyting algebra. First, by the concept of join and meet on an $L$-ordered set, the notion of an $L$-lattice is introduced and some related results are obtained. Then we applied them to define an $L$-lattice ordered group.
Rajab Ali Borzooei +2 more
openaire +3 more sources
ABSTRACT Background Combined oral contraceptive (COC) use in obese adult women dramatically increases the relative risk of developing a pulmonary embolism (PE). The risk of a PE in obese adolescent females taking contraceptives is currently unknown. The purpose of this investigation was to determine the effect of body mass index (BMI) and contraceptive
John Puetz, Joanne Salas
wiley +1 more source
The Lebesgue state of a unital abelian lattice-ordered group [PDF]
Various combinatorial equivalents are given to the Lebesgue state in archimedean lattice-ordered groups with order-unit.
V. Marra, D. Mundici
core +1 more source
ABSTRACT Background Fertility preservation (FP) is increasingly integrated into the care of pediatric patients exposed to gonadotoxic therapy or conditioning for hematopoietic stem cell transplantation (HSCT), yet perioperative data in infants and toddlers remain scarce.
Kerstin Saalabian +13 more
wiley +1 more source
We report, to the best of our knowledge, the first Raman sensor for antibiotics spiked in human plasma using silicon nitride waveguides functionalized with a mesoporous silica top-cladding.
Haolan Zhao +5 more
doaj +1 more source

