ISSN:0092-7872    

DOI:10.1080/00927879508825260

出版商:Marcel Dekker, Inc.    

年代:1995

数据来源: Taylor

ISSN:0092-7872    

DOI:10.1080/00927879508825261

出版商:Marcel Dekker, Inc.    

年代:1995

数据来源: Taylor

ISSN:0092-7872    

DOI:10.1080/00927879508825262

出版商:Marcel Dekker, Inc.    

年代:1995

数据来源: Taylor

ISSN:0092-7872    

DOI:10.1080/00927879508825263

出版商:Marcel Dekker, Inc.    

年代:1995

数据来源: Taylor

摘要:

In this paper, the problem of nontrivial nearring multiplications on groups is closely investigated with a different approach. By using the notions of 5, 0-acts and the language of model theory, we give a detailed discussion on a large class of groups that possesses nontrivial nearring multiplications. In the last section, we apply our results to the theory of centralizer nearrings of a single endomorphism which is mainly due to the work of C. Maxson and K. Smith [28, 29]

ISSN:0092-7872    

DOI:10.1080/00927879508825264

出版商:Marcel Dekker, Inc.    

年代:1995

数据来源: Taylor

摘要:

It is known that an atomic right LCM domain need not be a UFD but is a projectivity-UFD if it is also modular. This paper studies a slightly weaker and easier condition, the RAMP (acronym for the property in the title) , which also ensures that an atomic right LCM domain will be a projectivity-UFD. Among other things it is shown that in an atomic LCM domain, modularity is equivalent to the pair RAMP and LAMP (the left-right analog of RAMP). This result is then used to show that an atomic LCM domain with conjugation is modular. An example is given of an atomic LCM domain that has neither the RAMP nor the LAMP. All rings are not-necessarily commutative integral domains. Recall that an atomic ring is one in which every nonzero nonunit is a product of atoms (i.e. irreducibles) . A ring R is a right LCM domain if for any two elements a and b in R, aR ∩ bR is a principal right ideal. A right LCM domain need not be a left LCM domain [3] . If a ring has both properties it is called an LCM domain. It Is known (see Example 2 below) that, unlike the commutative case, an atomic right LCM domain need not be a UFD (unique factorization domain). In [1] it is shown that if the ring is also modular then it is a projectivity-UFD (definition of the latter recalled below)

ISSN:0092-7872    

DOI:10.1080/00927879508825265

出版商:Marcel Dekker, Inc.    

年代:1995

数据来源: Taylor

摘要:

Let H be a finite dimensional, semisimple Hopf algebra over a field K and let A be an H- module algebra. Assume K is a splitting field for H and that H is strongly semiprime. If A is H- semiprime, we show the Connes spectrum of H acting on A consists of all of the irreducible representations of H is equivalent to every nonzero annihilator ideal of the smash product meets A nontrivially. If H is also cocommutative, we let I′be the intersection of the annihilators of the modules in the Connes spectrum. We find some of theinformation encoded in the Hopf kernel of the natural map from H to H/I′.

ISSN:0092-7872    

DOI:10.1080/00927879508825266

出版商:Marcel Dekker, Inc.    

年代:1995

数据来源: Taylor

ISSN:0092-7872    

DOI:10.1080/00927879508825267

出版商:Marcel Dekker, Inc.    

年代:1995

数据来源: Taylor

摘要:

Let u1xnXxn, and vnxl be matrices of indeterminates, Adj X be the classical adjoint of X, and H(n) be the ideal I1(uX) +1(Xv) +1(vu - AdjX). Vasconcelos has conjectured that H(n) is a perfect Gorenstein ideal of grade 2n. In this paper, we obtain the minimal free resolution of H(n)\ and thereby establish Vasconcelos' conjecture

ISSN:0092-7872    

DOI:10.1080/00927879508825268

出版商:Marcel Dekker, Inc.    

年代:1995

数据来源: Taylor

ISSN:0092-7872    

DOI:10.1080/00927879508825269

出版商:Marcel Dekker, Inc.    

年代:1995

数据来源: Taylor