TY - JOUR ID - 1010 TI - Affinization of Segre products of partial linear spaces JO - Bulletin of the Iranian Mathematical Society JA - BIMS LA - en SN - 1017-060X AU - Petelczyc, K. AU - Żynel, M. AD - Institute of Mathematics, University of Białystok, Ciołkowskiego 1M, 15-245 Białystok. Y1 - 2017 PY - 2017 VL - 43 IS - 5 SP - 1101 EP - 1126 KW - Segre product‎ KW - ‎hyperplane‎ KW - ‎hyperplane complement DO - N2 - Hyperplanes and hyperplane complements in the Segre product of partial linear spaces are investigated. The parallelism of such a complement is characterized in terms of the point-line incidence. Assumptions, under which the automorphisms of the complement are the restrictions of the automorphisms of the ambient space, are given. An affine covering for the Segre product of Veblenian gamma spaces is established. A general construction that produces non-degenerate hyperplanes in the Segre product of partial linear spaces embeddable into projective space is introduced. UR - http://bims.iranjournals.ir/article_1010.html L1 - http://bims.iranjournals.ir/article_1010_ae91b745ca8ce73d8145c9d0ba456580.pdf ER -