NOVELTY - Glycerol mono or diester derivatives are new.    USE - In lubricant and fuel compositions, for preparing polyester, crosslinked polyester, polyurethane, triazoles, polyols, polyol esters and polyvinylethers (claimed) which are useful for preparing polyurethane foam (including foam rubber) for comfortable, durable mattresses and automotive and domestic seats; rigid polyurethane foam used in applications ranging from domestic refrigerators to large industrial buildings; polyurethane adhesives used to make a wide variety of composite wood products from load-bearing roof beams to decorative cladding panels; products such as shoe soles, sports equipment, car bumpers and soft front ends; polyurethane elastomers; in fabrics or high performance breathable polyurethane membranes; in medical applications such as artificial joints and implant coatings; in polyurethane coatings for protecting floors and bridges from damage/corrosion; adhesives used in the construction of electronic circuit board and aircraft; and in glass and carbon fiber reinforced composites evaluated in the automotive and aerospace industries.    ADVANTAGE - The glycerol derivative provides economical lubricant composition which forms a film on the surface of moving parts and reduces wear and friction. The lubricants have good low temperature flow properties, oxidative stability and lubricity.    DETAILED DESCRIPTION - Glycerol mono or diester derivatives of formula F1a-O-CH2-CH(CH2-O-F2a)-OR1 (I) are new.    F1a and F2a=fatty acid residue or H;    R1=alkyl, or alkylene ether containing ester.    Provided that F1a and F2a are not both hydrogen. INDEPENDENT CLAIMS are included for the following:    (1) new polyester (P1) which is the condensation product of at least one of a diacid, diacid halide or diester and glycerol derivatives of formula HO-CH2-CH(CH2-OH)-OR8 (IIa);    (2) a lubricant composition comprising the compound (I) or (IIa);    (3) preparation of serinol involving converting the hydroxyl group of dioxane derivatives of formula R2-T1-OH (II) to a leaving group (L) to obtain dioxane derivatives of formula R2-T1-L (III); treating (III) under conditions where L is replaced by an azide to obtain a compound of formula R2-T1-N3 (IV); subjecting (IV) to a reducing agent to reduce the azide of compound (IV) to obtain an amine compound of formula R2-T1-NH2 (V); subjecting (V) to conditions suitable to obtain serinol;    (4) new tetrol derivatives of formula (VI) and (VIa);    (5) new crosslinked polyester which is the condensation product of at least one diacid, diacid halide or diester with a tetrol derivatives of formula (HO-CH2)2CH-O-(CH2)n-O-CH(CH2-OH)2 (VII);    (6) new polyurethane (P2) which is the condensation product of a diisocyanate and glycerol derivatives of formula HO-CH2-CH(CH2-OH)-OR7;    (7) new crosslinked polyurethane which is the condensation product of a diisocyanate and the compound (VII);    (8) new 1H-(1,2,3)triazole derivatives of formula (VIII);    (9) new glycerol containing polymer of formula -(CH2-CH(-X-CH(CH2OH)2)o-; and    (10) a fuel composition comprising gasoline, diesel fuel or biodiesel used in internal combustion engine, and at least one glycerol ether of formula R16-O-CH2-CH(CH2-O-R17)-OR8.    T2=(1,3)dioxan-2,5-diyl;    R2=alkyl or aryl;    L=leaving group;    R8 and R18=alkyl;    R3-R6=H, alkyl, -C(=O)R18;    n=1-16;    R7=alkyl or aryl (both optionally substituted);    R9 and R10=H, alkyl, or aryl;    R11=alkyl or aryl;    R12-R15=methacrylate, acrylate, vinyl ether, alkyl containing group or -C(=O)R18;    o=greater than 10;    X=-O-, -O-CH2CH2-O-, -CONH- or -COO-;    R16 and R17=H, -C(=O)R18, or alkyl.    Provided that R2 is attached at 2 position of the (1,3)dioxane ring.