TY - JOUR ID - 1037 TI - Some rank equalities for finitely many tripotent matrices JO - Bulletin of the Iranian Mathematical Society JA - BIMS LA - en SN - 1017-060X AU - Petik, T. AU - Ozdemir, H. AD - Sakarya University, Department of Mathematics, Sakarya, 54187, Turkey. Y1 - 2017 PY - 2017 VL - 43 IS - 5 SP - 1479 EP - 1493 KW - rank KW - elementary block matrix operations KW - idempotent matrix KW - tripotent matrix DO - N2 - ‎A rank equality is established for the sum of finitely many tripotent matrices via elementary block matrix operations‎. ‎Moreover‎, ‎by using this equality and Theorems 8 and 10 in [Chen M‎. ‎and et al‎. ‎On the open problem related to rank equalities for the sum of finitely many idempotent matrices and its applications‎, ‎The Scientific World Journal 2014 (2014)‎, ‎Article ID 702413‎, ‎7 pages‎.]‎, ‎some other rank equalities for tripotent matrices are given‎. ‎Furthermore‎, ‎we obtain several rank equalities related to some special types of matrices‎, ‎some of which are available in the literature‎, ‎from the results established‎. UR - http://bims.iranjournals.ir/article_1037.html L1 - http://bims.iranjournals.ir/article_1037_3ff83cd867821e50f12900bc578fc89c.pdf ER -