… a ring and (S,≤) a strictly ordered monoid. In this paper, we deal with a new approach to
reflexive property for rings by … power series reflexive and nil generalized power series reflexive, …

… finite projective dimension are important partly because they behave more or less similarly
to modules over rings of finite global dimension… of finite Gorenstein projective dimension, …

… Given a map \(A \rightarrow B\) between non-positive commutative noetherian DG-rings which
is of flat dimension 0, … Homomorphisms of flat dimension 0 are stable under base change: …

… that N is not reflexive. As R is a one-dimensional domain, an R-module is reflexive if and only
if it … This condition also holds for certain ring homomorphisms when I equals the Gorenstein …

… to characterize when a finite dimensional algebra with unity … R/I is S-compatible, to indicate
the homomorphism ω, we will … Hence we shall call a ring R a reflexive ring if 0 is a reflexive …

… homological dimensions of the R-module HomR(M,R) forces M to be free, or totally reflexive,
or … Below we furnish simple instances of a ring homomorphism R → S satisfying mS = S for …

… ring which we can work on. To realize automorphic forms as global sections on some coherent
sheaves on the minimal compactification, we use the notion of reflexive … finite dimensional …

… or a reader who wants to learn the theory of dimension could immediately turn to §19 and
§20. … category of ordered sets and order preserving maps (reflexive + transitive = order). [Note: …

… the properties of GPC-projective dimensions for complexes over ring homomorphisms. …
Let ϕ : R → S be a ring homomorphism of finite flat dimension and C a semidualizing R-module. …

We give another definition of 2–dimensional extended homotopy field theories (EHFTs) with
aspherical targets and classify them. When the target of EHFT is chosen to be a K (G, 1)–…