Compounds of general formula: in which: Y and z are chosen, independently of one another, from CH and N; T is chosen from CO or SO 2; n is an integer greater than or equal to 1 and less than or equal to 3; R1 represents a group chosen from linear or branched C 1 -C 3 alkyl chains, linear or branched and substituted C 1 -C 3 alkyl chains, C 3 -C 6 cyclic groups, the cyano group, the azido group, C 1 -C 3 alkoxy chains, an unsubstituted phenyl group, a phenyl group substituted by one, two or three substituent(s) selected, independently of one another, from linear or branched C 1 -C 3 alkyl chains, trifluoromethyl, linear or branched C 1 -C 3 alkoxy chains, halogens, 6-membered heterocycles comprising 1 or 2 nitrogen atoms in the ring, 5-membered aromatic heterocycles; R is chosen from the azido, cyano, or 2-benzothiazolyl groups and the following groups (R-1) to (R-10): in which: R2 is chosen from H, F, Cl, Br or I; R3 is a group selected from H, linear or branched C 1 -C 6 alkyl chains, linear or branched C 1 -C 6 alkyl chains which are substituted by at least one fluorine atom, cyclic C 3 -C 6 groups, the cyanomethyl group, the azidomethyl group, linear or branched C 1 -C 4 alkoxy chains, C 1 -C 4 hydroxyalkyl groups, C 1 -C 4 alkyl methyl ester groups, C 1 -C 4 alkyl methylcarbonylamino groups, C 1 -C 4 alkyl methyl sulphone groups, the unsubstituted phenyl group, a phenyl group substituted by one, two or three substituents selected, independently of one another, from C 1 -C 3 alkyl chains, trifluoromethyl, C 1 -C 3 alkoxy chains, optionally substituted aromatic heterocycles, substituted aromatic heterocycles, aromatic heterocycles substituted by at least one fluorine atom or by a group chosen from the following groups (II-a and II-b): in which R4 is a group chosen from H, linear or branched C 1 -C 4 alkyl chains, the phenyl group, a phenyl group substituted by at least one halogen atom, a phenyl group substituted by a linear or branched C 1 -C 4 alkyl chain, a phenyl group substituted by a linear or branched C 1 -C 4 alkoxy chain and a phenyl group substituted by a trifluoromethyl group; for their use in the treatment of bacterial and mycobacterial infections. Y and z are chosen, independently of one another, from CH and N; T is chosen from CO or SO 2; n is an integer greater than or equal to 1 and less than or equal to 3; R1 represents a group chosen from linear or branched C 1 -C 3 alkyl chains, linear or branched and substituted C 1 -C 3 alkyl chains, C 3 -C 6 cyclic groups, the cyano group, the azido group, C 1 -C 3 alkoxy chains, an unsubstituted phenyl group, a phenyl group substituted by one, two or three substituent(s) selected, independently of one another, from linear or branched C 1 -C 3 alkyl chains, trifluoromethyl, linear or branched C 1 -C 3 alkoxy chains, halogens, 6-membered heterocycles comprising 1 or 2 nitrogen atoms in the ring, 5-membered aromatic heterocycles; R is chosen from the azido, cyano, or 2-benzothiazolyl groups and the following groups (R-1) to (R-10): in which: R2 is chosen from H, F, Cl, Br or I; R3 is a group selected from H, linear or branched C 1 -C 6 alkyl chains, linear or branched C 1 -C 6 alkyl chains which are substituted by at least one fluorine atom, cyclic C 3 -C 6 groups, the cyanomethyl group, the azidomethyl group, linear or branched C 1 -C 4 alkoxy chains, C 1 -C 4 hydroxyalkyl groups, C 1 -C 4 alkyl methyl ester groups, C 1 -C 4 alkyl methylcarbonylamino groups, C 1 -C 4 alkyl methyl sulphone groups, the unsubstituted phenyl group, a phenyl group substituted by one, two or three substituents selected, independently of one another, from C 1 -C 3 alkyl chains, trifluoromethyl, C 1 -C 3 alkoxy chains, optionally substituted aromatic heterocycles, substituted aromatic heterocycles, aromatic heterocycles substituted by at least one fluorine atom or by a group chosen from the following groups (II-a and II-b): in which R4 is a group chosen from H, linear or branched C 1 -C 4 alkyl chains, the phenyl group, a phenyl group substituted by at least one halogen atom, a phenyl group substituted by a linear or branched C 1 -C 4 alkyl chain, a phenyl group substituted by a linear or branched C 1 -C 4 alkoxy chain and a phenyl group substituted by a trifluoromethyl group; for their use in the treatment of bacterial and mycobacterial infections. R2 is chosen from H, F, Cl, Br or I; R3 is a group selected from H, linear or branched C 1 -C 6 alkyl chains, linear or branched C 1 -C 6 alkyl chains which are substituted by at least one fluorine atom, cyclic C 3 -C 6 groups, the cyanomethyl group, the azidomethyl group, linear or branched C 1 -C 4 alkoxy chains, C 1 -C 4 hydroxyalkyl groups, C 1 -C 4 alkyl methyl ester groups, C 1 -C 4 alkyl methylcarbonylamino groups, C 1 -C 4 alkyl methyl sulphone groups, the unsubstituted phenyl group, a phenyl group substituted by one, two or three substituents selected, independently of one another, from C 1 -C 3 alkyl chains, trifluoromethyl, C 1 -C 3 alkoxy chains, optionally substituted aromatic heterocycles, substituted aromatic heterocycles, aromatic heterocycles substituted by at least one fluorine atom or by a group chosen from the following groups (II-a and II-b): in which R4 is a group chosen from H, linear or branched C 1 -C 4 alkyl chains, the phenyl group, a phenyl group substituted by at least one halogen atom, a phenyl group substituted by a linear or branched C 1 -C 4 alkyl chain, a phenyl group substituted by a linear or branched C 1 -C 4 alkoxy chain and a phenyl group substituted by a trifluoromethyl group; for their use in the treatment of bacterial and mycobacterial infections.