Residual finiteness in permutation varieties of semigroups.
Residual quotient fuzzy subset in near-rings.
Resolutions of homogeneous bundles on
We characterize minimal free resolutions of homogeneous bundles on . Besides we study stability and simplicity of homogeneous bundles on by means of their minimal free resolutions; in particular we give a criterion to see when a homogeneous bundle is simple by means of its minimal resolution in the case the first bundle of the resolution is irreducible.
Restricted Boolean group rings
In this paper we study restricted Boolean rings and group rings. A ring is if every proper homomorphic image of is boolean. Our main aim is to characterize restricted Boolean group rings. A complete characterization of non-prime restricted Boolean group rings has been obtained. Also in case of prime group rings necessary conditions have been obtained for a group ring to be restricted Boolean. A counterexample is given to show that these conditions are not sufficient.
Restricted Regular Rings.
Riemann-Roch Theorem for Locally Principal Orders.
Right Alternative Rings with Minimal Condition.
Right coideal subalgebras of
We give a complete classification of right coideal subalgebras that contain all grouplike elements for the quantum group provided that is not a root of 1. If has a finite multiplicative order ; this classification remains valid for homogeneous right coideal subalgebras of the Frobenius–Lusztig kernel . In particular, the total number of right coideal subalgebras that contain the coradical equals ; the order of the Weyl group defined by the root system of type .
Right ideals and derivations on multilinear polynomials
Right pure semisimple -hereditary -rings
Right Sided Ideals and Multilinear Polynomials with Derivation on Prime Rings
Right Symbolic Powers and Classical Localization in Right Noetherian Rings.
Right Utumi p.p.-rings
Rigid left Noetherian rings.
Rigid monomial algebras.
Rigid transjective modules
Rigidity of generalized Verma modules
We prove that generalized Verma modules induced from generic Gelfand-Zetlin modules, and generalized Verma modules associated with Enright-complete modules, are rigid. Their Loewy lengths and quotients of the unique Loewy filtrations are calculated for the regular block of the corresponding category 𝒪(𝔭,Λ).
Ring elements as sums of units
In an Artinian ring R every element of R can be expressed as the sum of two units if and only if R/J(R) does not contain a summand isomorphic to the field with two elements. This result is used to describe those finite rings R for which Γ(R) contains a Hamiltonian cycle where Γ(R) is the (simple) graph defined on the elements of R with an edge between vertices r and s if and only if r - s is invertible. It is also shown that for an Artinian ring R the number of connected components of the graph...
Ring varieties closed under ideal sums
Ringe mit nichtkommutativer Addition I.