Showing papers in "Journal of Algebra in 1970"

TL;DR: A complete description of the lattice of equational classes of idempotent semigroups with one unary operation was given in this article, which is the only nontrivial lattice to be completely described.

TL;DR: In this paper, it was shown that the Lie algebra associated to the descending central series of a finitely generated group with a single primitive defining relation is a Lie algebra with a defining relation.

TL;DR: In this article it was shown that a factor ring of an arbitrary hereditary Noetherian prime ring is the direct product of two rings, one generalized uniserial, the other generalised triangular.

TL;DR: The notion of a covering morphism of groupoids has been developed by P. J. Higgins [4, 51 and shown to be a convenient tool in algebra, even for purely group theoretic results.

TL;DR: In this article, the main result of Tate [I], Theorem 1, concerning the fixed field of the Galois action on the completion of the algebraic closure of a local field is investigated.

TL;DR: In this paper, it was shown that the projective part is a direct sum of a free module and a right ideal, and that the right ideal can be generated by two elements, one chosen (almost) at random.

TL;DR: In this paper, the authors investigated various chain conditions enjoyed by a ring R and the modules over it as a result of restrictions placed on the way simple modules can be embedded into cyclic modules and inject& modules.

TL;DR: In this article, it was shown that fusion of p-elements is in fact determined by p-local subgroups N(H) such that iV(H)/H is p-isolated.

TL;DR: The main objective of as discussed by the authors is to characterize flat group valued functors, which is a generalization of flat modules by means of generators and relations, and has applications in the study of the exactness of the direct limit functor and in the singular homology theory of sheaves.

TL;DR: The translation planes of order pr in this article can be thought of in the following way: a vector space of dimension 2r over F = GF(p) is considered, and every collineation fixing the zero vector is a nonsingular linear transformation of v which preserves the spread in the sense that the image of each component is a component.

TL;DR: In this article, a characterization of the centered n -valued Lukasiewicz algebras was derived from the results of [12] and [13] for n = 3.

TL;DR: In this paper, it was shown that for any non-cyclic Abelian 2 group, there is a modular representation of Z, x Z, with p f 2, for Z, X 2,, and for Z x 2, x 2.

TL;DR: In this paper it was shown that none of the sufficient conditions given in Sections 1 and 2 in order that an invertible ideal have a basis of two elements are necessary, and answers in the negative a question raised by Matlis in [15, p. 1.

TL;DR: In this paper, a general construction due to Tits of finite generalized quadrangles (4-gons) yields the "classical" examples and only these except when the characteristic of the underlying field is 2.