id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ap-1807	Janda, Jirí	Weakly Ordered A-Commutative Partial Groups of Linear Operators Densely Defined on Hilbert Space	2013	6	.pdf	application/pdf	5295	370	87	An a-commutative partial group (G,+, 0) is called weakly ordered (shortly a woa-group) with respect to a reflexive and antisymmetric relation ≤ on G (we call it a weak order) if (Ri) x ≤ y iff there exists 0 ≤ z, x + z is defined and x+ z = y, (Rii) 0 ≤ x, y and x+ y defined, then 0 ≤ x+ y, (Riii) 0 ≤ x, 0 ≤ z, x ≤ y and y+z defined implies x+ z defined. (β2) y ≤ z and z ≤ (x + y) (that is z	cache/ap-1807.pdf	txt/ap-1807.txt