In the present paper, we study formal matrix rings over a given ring and determinants of such
matrices. In Secs. 1–4, some general properties of formal matrix rings are presented. In …

In this paper, we investigate polyform modules and introduce the notion of relatively
polyform modules over a ring R. Some new characterizations and properties of polyform …

1994 年11 月_ J,) 习洇雅, 零理恕南京大学学报数学半年刊第2 期2, 一Z 正则环的同调维数
朱晓胜(河海大学) HOM OLOGICAL DIM ENSIONS OF REGULAR RINGS Zhu X iaosheng …

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If $ R $ is a triangular $2\times 2$ matrix ring, the columns $ P $ and $ Q $ are fg projective $
R $-modules. We describe the universal localization of $ R $ which makes invertible an $ R …

左(右) R-模A 称为GFP-内射模, 如果ExtR (M, A)= 0 对任-2-表现R-模M 成立; 左(右) R-模称为G-
平坦的, 如果Tor1^ R (M, A)= 0 (Tor1^ R (AM)= 0) 对于任一2-表现右(左) R-模M 成立; 环R …

In this paper, we classify additive closed symmetric monoidal structures on the category of
left R-modules by using Watts' theorem. An additive closed symmetric monoidal structure is …

‎ In this paper we continue our study of perpendicular graph of modules‎,‎ that was introduced
in\cite {Hokkaido}‎.‎ Let $ R $ be a ring and $ M $ be an $ R $-module‎.‎ Two modules $ A …

Let $ R $ be a ring and $ M $ be an $ R $-module. Two modules $ A $ and $ B $ are called
orthogonal, written $ A\perp B $, if they do not have non-zero isomorphic submodules. We …