Bearing (25; 102; 45) for a shed forming machine or a system for transmitting movement to the frames of a loom, comprising an inner ring (72; 172; 272), an outer ring (74; 174; 274) and rolling elements (76; 176; 276), in which: - the inner ring is centered on a main axis (A72; A172; A44), comprises two lateral surfaces normal to the main axis and defines a peripheral ring (80; 180; 280) centered on the main axis, - the outer ring (74; 174; 274) defines an inner ring, which is circular and centered on the main axis, - the rolling elements (76; 176; 276) are interposed, radially with respect to the main axis, between the peripheral ring and the inner ring, so as to guide the outer ring in rotation with respect to the inner ring around the main axis, characterized - in that the inner ring (72; 172; 272) comprises at least one slot (90; 190; 290, 291), opening onto the two lateral surfaces, extending opposite a portion of the path of the peripheral bearing (80; 180; 280), and forms a material bridge (94; 194; 294, 295) between the slot and the peripheral ring, - in that the material bridge (94; 194; 294, 295) extends over an angular sector (99; 199; 299, 300) of the inner ring, the angular sector being centered on the main axis (A72; A172; A44) of the bearing and having a vertex angle (α1; α2; α3, α4) greater than or equal to the vertex angle (β2) of an angular sector occupied by two rolling elements (76; 176; 276), preferably greater than or equal to the vertex angle (β5) of an angular sector occupied by five rolling elements, preferably greater than or equal to the vertex angle (β9) of an angular sector occupied by nine elements rolling elements, more preferably greater than or equal to the vertex angle (β13) of an angular sector occupied by thirteen rolling elements, - and in that the inner ring (72; 172; 272) further comprises at least one hole (88; 188; 288) for fixing the bearing (25; 102; 45). - the inner ring is centered on a main axis (A72; A172; A44), comprises two lateral surfaces normal to the main axis and defines a peripheral ring (80; 180; 280) centered on the main axis, - the outer ring (74; 174; 274) defines an inner ring, which is circular and centered on the main axis, - the rolling elements (76; 176; 276) are interposed, radially with respect to the main axis, between the peripheral ring and the inner ring, so as to guide the outer ring in rotation with respect to the inner ring around the main axis, - in that the inner ring (72; 172; 272) comprises at least one slot (90; 190; 290, 291), opening onto the two lateral surfaces, extending opposite a portion of the path of the peripheral bearing (80; 180; 280), and forms a material bridge (94; 194; 294, 295) between the slot and the peripheral ring, - in that the material bridge (94; 194; 294, 295) extends over an angular sector (99; 199; 299, 300) of the inner ring, the angular sector being centered on the main axis (A72; A172; A44) of the bearing and having a vertex angle (α1; α2; α3, α4) greater than or equal to the vertex angle (β2) of an angular sector occupied by two rolling elements (76; 176; 276), preferably greater than or equal to the vertex angle (β5) of an angular sector occupied by five rolling elements, preferably greater than or equal to the vertex angle (β9) of an angular sector occupied by nine elements rolling elements, more preferably greater than or equal to the vertex angle (β13) of an angular sector occupied by thirteen rolling elements, - and in that the inner ring (72; 172; 272) further comprises at least one hole (88; 188; 288) for fixing the bearing (25; 102; 45).