Semi-Perfect q-Rings.
...-semiperfekte und ...-perfekte Moduln.
Semiprime ideals and irreducible ideals of -semirings.
Semiprime ideals of skew polynomial rings.
Semiprime rings with nilpotent Lie ring of inner derivations
We give an elementary and self-contained proof of the theorem which says that for a semiprime ring commutativity, Lie-nilpotency, and nilpotency of the Lie ring of inner derivations are equivalent conditions
Semiprime SF-rings whose essential left ideals are two-sided.
Semirings embedded in a completely regular semiring
Recently, we have shown that a semiring is completely regular if and only if is a union of skew-rings. In this paper we show that a semiring satisfying can be embedded in a completely regular semiring if and only if is additive separative.
Semirings whose additive endomorphisms are multiplicative
A ring or an idempotent semiring is associative provided that additive endomorphisms are multiplicative.
Semirings with descending chain condition and without nilpotent elements
Semirings without zero divisors.
Semisimple Algebras and a Cancellation Law.
Semisimple completed group rings.
Semisimple ring spectra.
Semisimplicity and global dimension of a finite von Neumann algebra
We prove that a finite von Neumann algebra is semisimple if the algebra of affiliated operators of is semisimple. When is not semisimple, we give the upper and lower bounds for the global dimensions of and This last result requires the use of the Continuum Hypothesis.
Separable adel algebras and a presentation of Weil groups.
Separable Algebren über kommutativen Ringen.
Separable and Frobenius monoidal Hom-algebras
As generalizations of separable and Frobenius algebras, separable and Frobenius monoidal Hom-algebras are introduced. They are all related to the Hom-Frobenius-separability equation (HFS-equation). We characterize these two Hom-algebraic structures by the same central element and different normalizing conditions, and the structure of these two types of monoidal Hom-algebras is studied. The Nakayama automorphisms of Frobenius monoidal Hom-algebras are considered.
Separable functors for the category of Doi Hom-Hopf modules
Let be the category of Doi Hom-Hopf modules, be the category of A-Hom-modules, and F be the forgetful functor from to . The aim of this paper is to give a necessary and suffcient condition for F to be separable. This leads to a generalized notion of integral. Finally, applications of our results are given. In particular, we prove a Maschke type theorem for Doi Hom-Hopf modules.
Separable functors in corings.
Separable group-ring extensions.