Ring homomorphisms on H(G).

Nandakumar, N.R.

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Two properties of the power series ring.

Al-Ezeh, H. (1988)

International Journal of Mathematics and Mathematical Sciences

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On the functionally countable subalgebra of C(X)

M. Ghadermazi, O. A. S. Karamzadeh, M. Namdari (2013)

Rendiconti del Seminario Matematico della Università di Padova

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σ-ring and σ-algebra of Sets1

Noboru Endou, Kazuhisa Nakasho, Yasunari Shidama (2015)

Formalized Mathematics

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In this article, semiring and semialgebra of sets are formalized so as to construct a measure of a given set in the next step. Although a semiring of sets has already been formalized in [13], that is, strictly speaking, a definition of a quasi semiring of sets suggested in the last few decades [15]. We adopt a classical definition of a semiring of sets here to avoid such a confusion. Ring of sets and algebra of sets have been formalized as non empty preboolean set [23] and field of subsets...