M. V. Babenko, V. V. Chermnykh, “On the semirings of skew polynomials”, Fundam. Prikl. Mat., 2020, Volume 23, Issue 3,Pages <nobr>13

On the semirings of skew polynomials

M. V. Babenko^a, V. V. Chermnykh^b

^a Vyatka State University, Vyatka, Russia
^b Syktyvkar State University named after Pitirim Sorokin, Syktyvkar, Russia

Abstract: Semirings of skew polynomials such as invariant, without nilpotent elements, Abelian, and Rickart without nilpotent elements are considered in this paper. Properties and characterizations of these semirings are obtained.

UDC: 512.55