✦ LIBER ✦

The Group of Units of a Commutative Semigroup Ring

✍ Scribed by A.V. Kelarev

Publisher: Elsevier Science
Year: 1994
Tongue: English
Weight: 472 KB
Volume: 169
Category: Article
ISSN: 0021-8693
DOI: 10.1006/jabr.1994.1316

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

The Ring of Quotients of R[S]; R a Commu

The Ring of Quotients of R[S]; R a Commutative Ring and S a REES Matrix Semigroup over a Semigroup

✍ James A. Bate; John K. Luedeman 📂 Article 📅 1981 🏛 John Wiley and Sons 🌐 English ⚖ 483 KB

By JAMES A. RATE and JOHN K . LUEDEMAN of Clemson (I7.S.A.) (Eingegangen am 22. 11. 1979) REES matrix semigroups &I= (S, ,I, -1, P) over a semigroup correspond loosely to the n X n matrix rings over it ring R. It is well known that &(R,)x .=(&(R)),,. Moreover, when S is it finite BRANDT semigroup, S

Units of Integral Semigroup Rings

✍ Eric Jespers; Duzhong Wang 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 207 KB

It is proved that both the Bass cyclic and bicyclic units generate a subgroup of Ž . finite index in U U ZS , assuming S is a finite semigroup such that QS is semisimple Artinian and does not contain certain types of simple components. ᮊ 1996 Aca- demic Press, Inc.

The Ring of Quotients R[S]: R an Integra

The Ring of Quotients R[S]: R an Integral Domain and S a Commutative Cancellative Semigroup

✍ James A. Bate; John K. Luedeman 📂 Article 📅 1983 🏛 John Wiley and Sons 🌐 English ⚖ 401 KB

The theory of rings of quotients of a given ring has been developed by many authors including Asmo [ l ] , JOHNSON [6], UTUMI [ l l ] , and STENSTEOM [lo]. A corresponding theory of semigroups of quotients has been studied by BERTHUUME [3], MOMORRIS [8], and &KLE [6]. LUEDEMAN [7] has begun the deve

The Normalizer of a Group in the Unit Gr

The Normalizer of a Group in the Unit Group of Its Group Ring

✍ Marcin Mazur 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 127 KB

The Zero-Divisor Graph of a Commutative

The Zero-Divisor Graph of a Commutative Ring

✍ David F. Anderson; Philip S. Livingston 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 121 KB

For each commutative ring R we associate a simple graph ⌫ R . We investigate the interplay between the ring-theoretic properties of R and the graph-theo-Ž . retic properties of ⌫ R .

Commutative Algebra for Cohomology Rings

Commutative Algebra for Cohomology Rings of Virtual Duality Groups

✍ D.J. Benson; J.P.C. Greenlees 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 285 KB

Cohomology rings of finite groups have strong duality properties, as shown by w x w x Benson and Carlson 4 and Greenlees 16 . We prove here that cohomology rings of virtual duality groups have a ring theoretic duality property, which combines the duality properties of finite groups with the cohomolo