Перегляд за автором "Zabavsky, B."

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  • Zabavsky, B.; Gatalevych, A. (Algebra and Discrete Mathematics, 2015)
    We prove that any commutative Bezout PM∗ domain is an elementary divisor ring.
  • Pihura, O.; Zabavsky, B. (Algebra and Discrete Mathematics, 2015)
    We show that a commutative ring R has neat range one if and only if every unit modulo principal ideal of a ring lifts to a neat element. We also show that a commutative morphic ring R has a neat range one if and only if ...
  • Zabavsky, B.; Domsha, O. (Algebra and Discrete Mathematics, 2011)
    It is proved that R is a commutative adequate domain, then R is the domain of stable range 1 in localization in multiplicative closed set which corresponds s-torsion in the sense of Komarnitskii.
  • Zabavsky, B. (Algebra and Discrete Mathematics, 2005)
    We construct the theory of diagonalizability for matrices over Bezout ring with finite stable range. It is shown that every commutative Bezout ring with compact minimal prime spectrum is Hermite. It is also shown that a ...