We have given necessary and sufficient conditions that a finite direct products of rings have
maximal subrings. We proved that if R is any ring and α is a ring automorphism of R, then the …

Let be an algebraically closed field of characteristic zero, an affine k-algebra and let denote
its universal finite Kähler module of differentials over. In this paper, we consider the tensor …

Consider a finite group $ G $ acting on a graded Noetherian $ k $-algebra $ S $, for some
field $ k $ of characteristic $ p $; for example $ S $ might be a polynomial ring. Regard $ S …

arXiv:1506.07418v1 [math.KT] 24 Jun 2015 Page 1 arXiv:1506.07418v1 [math.KT] 24 Jun
2015 EXPLICIT EXAMPLES IN NK1 SCOTT SCHMIEDING Abstract. For certain rings R, we …

A ring $ R $ is called a left $\mathcal {Z} $-symmetric ring if $ ab\in\mathcal {Z} _l (R) $
implies $ ba\in\mathcal {Z} _l (R) $, where $\mathcal {Z} _l (R) $ is the set of left zero …

A ring R is called a right Ikeda-Nakayama ring (right IN-ring) if the left annihilator of the
intersection of any two right ideals is the sum of the two left annihilators. In this paper we …

Projective modules over clean orders Page 1 COMPOSITIO MATHEMATICA KW ROGGENKAMP
Projective modules over clean orders Compositio Mathematica, tome 21, no 2 (1969), p …

Let R be a ring and σ an automorphism of R and δ a σ-derivation of R. We say that R is a δ-
ring if aδ (a)∈ P (R) implies a∈ P (R), where P (R) is the prime radical of R. We prove that R …

In analogy to the elementwise definitions of UU-and UJ-rings, a ring R is called UNJ if 1+ N
(R)+ J (R)= U (R). After presenting several characterizations and properties, we consider the …

In this paper, we denote by ka commutative field, by ks (resp. k) a separable (resp.
algebraic) closure of k and by Γk the Galois group of ks/k. The objects we study are …