Random Motion on Finite Rings, I: Commutative Rings
Sign Up to like & getrecommendations! Published in 2019 at "Algebras and Representation Theory"
DOI: 10.1007/s10468-019-09864-w
Abstract: We consider irreversible Markov chains on finite commutative rings randomly generated using both addition and multiplication. We restrict ourselves to the case where the addition is uniformly random and multiplication is arbitrary. We first prove… read more here.
Keywords: commutative rings; random motion; multiplication; rings commutative ... See more keywords
Division closed lattice-ordered rings and commutative L*-rings
Sign Up to like & getrecommendations! Published in 2019 at "Quaestiones Mathematicae"
DOI: 10.2989/16073606.2018.1503201
Abstract: Abstract The paper continues the study of division closed lattice-ordered rings and commutative L*-rings. More interesting properties of division closed lattice-ordered rings are presented and it is shown that under certain conditions such rings are… read more here.
Keywords: rings commutative; division closed; ordered rings; lattice ordered ... See more keywords