More on Morita contexts for near-rings.
Multiplicatively idempotent semirings
Semirings are modifications of unitary rings where the additive reduct does not form a group in general, but only a monoid. We characterize multiplicatively idempotent semirings and Boolean rings as semirings satisfying particular identities. Further, we work with varieties of enriched semirings. We show that the variety of enriched multiplicatively idempotent semirings differs from the join of the variety of enriched unitary Boolean rings and the variety of enriched bounded distributive lattices....
-groups with acc on annihilators and some topological properties.
Near Domains of Composite Characteristic.
Near Integral Domains.
Near Integral Domains II.
Near Integral Domains on Nonabelian Groups.
Near Rings with Chain Condition.
Near Rings with Identities on Certain Groups.
Near Rings Without Zero Divisors.
Near-rings generated by -modules.
Near-rings in which each prime factor is simple.
Near-rings of continuous functions on compact abelian groups.
Near-Rings of Polynomials over ...-Groups.
Near-rings with a special condition on idempotents.
Nil-extensions of completely simple semirings
A semiring S is said to be a quasi completely regular semiring if for any a ∈ S there exists a positive integer n such that na is completely regular. The present paper is devoted to the study of completely Archimedean semirings. We show that a semiring S is a completely Archimedean semiring if and only if it is a nil-extension of a completely simple semiring. This result extends the crucial structure theorem of completely Archimedean semigroup.
Normale Teilquasikörper eines Fastringes. Der Satz von Cartan-Brauer-Hua.
Norms on semirings. I.
Note on isomorphism theorems of hyperrings.
Notes on commutative parasemifields
Parasemifields (i.e., commutative semirings whose multiplicative semigroups are groups) are considered in more detail. We show that if a parasemifield contains as a subparasemifield and is generated by , , as a semiring, then is (as a semiring) not finitely generated.