منابع مشابه
Spelling theorems and Cohen-Lyndon theorems for one-relator products *
Duncan, A.J. and J. Howie, Spelling theorems and Cohen-Lyndon theorems for one-relator products, Journal of Pure and Applied Algebra 92 (1994) 123-136. Spelling theorems, a Cohen-Lyndon theorem and a Magnus theorem are proved for onerelator products of arbitrary groups, in cases where the relator is a sufficiently high power.
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1 Abstract We prove the Lyndon Theorem and the Lo s-Tarski Theorem for the modal-calculus, using automata which run on process graphs and are equivalent in expressive power to the-calculus. 2 Introduction In rst-order logic the Lo s-Tarski Theorem and Lyndon Theorem characterize syntactically fragments of rst-order logic having certain semantic properties. More precisely, the Lo s-Tarski Theore...
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A recent result of D. J. Collins states that the intersection of two Magnus subgroups in a one-relator group consists either just of the ‘obvious’ intersection, or exceptionally of the free product of the obvious intersection with a free group of rank 1. In this paper, Collins’ result is generalised to apply to one-relator products of arbitrary locally-indicable groups. Moreover, a precise anal...
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In this paper, we generalise Magnus’ Freiheitssatz and solution to the word problem for one-relator groups by considering one relator quotients of certain classes of right-angled Artin groups and graph products of locally indicable polycyclic groups.
متن کاملNoncommutative Generalizations of Theorems of Cohen and Kaplansky
This paper investigates situations where a property of a ring can be tested on a set of “prime right ideals.” Generalizing theorems of Cohen and Kaplansky, we show that every right ideal of a ring is finitely generated (resp. principal) iff every “prime right ideal” is finitely generated (resp. principal), where the phrase “prime right ideal” can be interpreted in one of many different ways. We...
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ژورنال
عنوان ژورنال: Journal of Pure and Applied Algebra
سال: 1994
ISSN: 0022-4049
DOI: 10.1016/0022-4049(94)90018-3